{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":42736,"title":"Convert from integer to binary","description":"  if true\r\n    % decimalToBinaryVector(x)\r\n  end","description_html":"\u003cpre class=\"language-matlab\"\u003eif true\r\n  % decimalToBinaryVector(x)\r\nend\r\n\u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = decimalToBinaryVector(x);\r\nend","test_suite":"%%\r\nx = 8;\r\ny_correct = [1 0 0 0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":63355,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":115,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-02-19T00:22:18.000Z","updated_at":"2026-02-12T18:45:10.000Z","published_at":"2016-02-19T00:24:50.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[if true\\n  % decimalToBinaryVector(x)\\nend]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44654,"title":"convert the number to binary format \u0026 count digits","description":"Convert the given number to the corresponding binary format and count the number of digits in that binary number","description_html":"\u003cp\u003eConvert the given number to the corresponding binary format and count the number of digits in that binary number\u003c/p\u003e","function_template":"function y = dec_2_bin(x)\r\n \r\nend","test_suite":"%%\r\nx = 23;\r\ny_correct = 5;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 234;\r\ny_correct = 8;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 22;\r\ny_correct = 5;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(dec_2_bin(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-25T11:50:28.000Z","updated_at":"2026-02-10T18:29:49.000Z","published_at":"2018-05-25T11:50:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert the given number to the corresponding binary format and count the number of digits in that binary number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43042,"title":"Convert decimal to binary and then generate the minimum binary  it can with jumbling","description":"input is 10 --\u003e 1010\r\noutput should be 3 --\u003e 0011\r\n\r\ninput 23 --\u003e 10111\r\noutput should be 15 --\u003e 01111","description_html":"\u003cp\u003einput is 10 --\u0026gt; 1010\r\noutput should be 3 --\u0026gt; 0011\u003c/p\u003e\u003cp\u003einput 23 --\u0026gt; 10111\r\noutput should be 15 --\u0026gt; 01111\u003c/p\u003e","function_template":"function y = minBin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 3;\r\nassert(isequal(minBin(x),y_correct))\r\n%%\r\nx = 23;\r\ny_correct = 15;\r\nassert(isequal(minBin(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = 15;\r\nassert(isequal(minBin(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":10,"comments_count":1,"created_by":13865,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":"2016-10-29T17:12:00.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T10:17:07.000Z","updated_at":"2026-03-24T11:36:00.000Z","published_at":"2016-10-05T10:17:07.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003einput is 10 --\u0026gt; 1010 output should be 3 --\u0026gt; 0011\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003einput 23 --\u0026gt; 10111 output should be 15 --\u0026gt; 01111\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44814,"title":"Find the complement of a number in binary","description":"Input x is a decimal number and output y is the complement of binary representation of x.\r\n\r\nFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit \r\n binary representation). \r\n\r\n  [0   0   0   0   1   0   1   0]\r\n\r\n\r\nAnd the output is\r\n\r\n  y = [1   1   1   1   0   1   0   1]\r\n\r\n\r\n","description_html":"\u003cp\u003eInput x is a decimal number and output y is the complement of binary representation of x.\u003c/p\u003e\u003cp\u003eFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit \r\n binary representation).\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e[0   0   0   0   1   0   1   0]\r\n\u003c/pre\u003e\u003cp\u003eAnd the output is\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ey = [1   1   1   1   0   1   0   1]\r\n\u003c/pre\u003e","function_template":"function y = find_comp(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [ 1   1   1   1   1   1   1   0];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = 67;\r\ny_correct = [1   0   1   1   1   1   0   0];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = 114;\r\ny_correct = [ 1   0   0   0   1   1   0   1];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = -16;\r\ny_correct = [0   0   0   0   1   1   1   1];\r\nassert(isequal(find_comp(x), y_correct))\r\n\r\n%%\r\nx = -45;\r\ny_correct = [0   0   1   0   1   1   0   0];\r\nassert(isequal(find_comp(x), y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":276103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-01-02T03:46:55.000Z","updated_at":"2026-03-03T10:57:50.000Z","published_at":"2019-01-02T03:46:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput x is a decimal number and output y is the complement of binary representation of x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit binary representation).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[0   0   0   0   1   0   1   0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd the output is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[y = [1   1   1   1   0   1   0   1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2412,"title":"Is My Wife Wrong?","description":"Answer the question.\r\n\r\n(see also \u003chttp://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right Problem 149: Is my wife right?\u003e)","description_html":"\u003cp\u003eAnswer the question.\u003c/p\u003e\u003cp\u003e(see also \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right\"\u003eProblem 149: Is my wife right?\u003c/a\u003e)\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = false;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":15333,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":342,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-10T19:24:27.000Z","updated_at":"2026-03-11T09:15:03.000Z","published_at":"2014-07-10T19:24:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnswer the question.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e(see also\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 149: Is my wife right?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43602,"title":"Convert array of decimal numbers into binary numbers array.","description":"Convert an array of decimal numbers into binary numbers array.\r\n\r\nFor example:\r\n\r\n x = [1 2 3 4 5 6 7 8];\r\n result = [1; 10; 11; 100; 101; 110; 111; 1000];","description_html":"\u003cp\u003eConvert an array of decimal numbers into binary numbers array.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre\u003e x = [1 2 3 4 5 6 7 8];\r\n result = [1; 10; 11; 100; 101; 110; 111; 1000];\u003c/pre\u003e","function_template":"function y = Converter(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 1:8;\r\ny_correct = [1 10 11 100 101 110 111 1000]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 8:20;\r\ny_correct = [1000 1001 1010 1011 1100 1101 1110 1111 10000 10001 10010 10011 10100]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 1:2:21;\r\ny_correct = [1 11 101 111 1001 1011 1101 1111 10001 10011 10101]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2.^(0:10);\r\ny_correct = [1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2.^(1:10) - 1;\r\ny_correct = [1 11 111 1111 11111 111111 1111111 11111111 111111111 1111111111]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2:2:20;\r\ny_correct = [10 100 110 1000 1010 1100 1110 10000 10010 10100]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 42;\r\ny_correct = 101010;\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":"2016-12-02T19:25:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-23T12:45:06.000Z","updated_at":"2026-03-11T09:44:35.000Z","published_at":"2016-10-23T13:04:57.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml 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encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43614,"title":"Convert binary numbers array into array of decimal numbers.","description":"Convert binary numbers array into array of decimal numbers.\r\nExample\r\nx=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\r\nres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 195px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 97.5px; transform-origin: 407px 97.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192px 8px; transform-origin: 192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConvert binary numbers array into array of decimal numbers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382px 8px; transform-origin: 382px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ex=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = BinToDec(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx=[ \r\n11001000 ;\r\n11001001 ; \r\n11001010 ;\r\n11001011 ;\r\n11001100 ;\r\n11001101 ;\r\n11001110 ;\r\n11001111 ;\r\n11010000 ;\r\n11010001 ;\r\n11010010 ;\r\n11010011 ;\r\n11010100 ;\r\n11010101 ;\r\n11010110 ;\r\n11010111 ; \r\n11011000 ; \r\n11011001 ;\r\n11011010 ; \r\n11011011 ;\r\n11011100 ;\r\n11011101 ; \r\n11011110 ;\r\n11011111 ;\r\n11100000 ; \r\n11100001 ;\r\n11100010 ;\r\n11100011 ;\r\n11100100 ;\r\n11100101 ;\r\n11100110 ];\r\ny_correct =[ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 ; 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230];\r\nassert(isequal(BinToDec(x),y_correct))\r\n%%\r\nx= [ \r\n101000000;\r\n101000001;\r\n101000010;\r\n101000011;\r\n101000100;\r\n101000101;\r\n101000110;\r\n101000111;\r\n101001000;\r\n101001001;\r\n101001010;\r\n101001011;\r\n101001100;\r\n101001101;\r\n101001110;\r\n101001111;\r\n101010000;\r\n101010001;\r\n101010010;\r\n101010011;\r\n101010100 ];\r\ny_correct =[ 320  ; 321  ; 322  ; 323  ; 324  ; 325  ; 326 ;  327  ; 328  ; 329  ; 330 ;  331 ;  332  ; 333  ; 334  ; 335  ; 336 ;  337 ;  338  ; 339  ; 340 ];\r\nassert(isequal(BinToDec(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":170,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-24T21:26:58.000Z","updated_at":"2026-03-31T17:53:25.000Z","published_at":"2016-10-24T21:27:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert binary numbers array into array of decimal numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1338,"title":"Binary Coder","description":"Take an input number and print the binary value of this number.","description_html":"\u003cp\u003eTake an input number and print the binary value of this number.\u003c/p\u003e","function_template":"function y = binary_coder(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 8;\r\ny_correct = 1000;\r\nassert(isequal(binary_coder(x),y_correct))\r\n\r\n%%\r\nx = 24;\r\ny_correct = 11000;\r\nassert(isequal(binary_coder(x),y_correct))","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":11534,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":273,"test_suite_updated_at":"2013-03-10T18:56:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-03-10T18:19:00.000Z","updated_at":"2026-03-27T18:21:15.000Z","published_at":"2013-03-10T18:19:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTake an input number and print the binary value of this number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2204,"title":"Convert a vector of Integers into a matrix of binaries","description":"Convert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\r\n\r\nExample\r\n\r\n input  = [1 2 3 4]\r\n\r\n output = [1 0 1 0\r\n           0 1 1 0\r\n           0 0 0 1]\r\n","description_html":"\u003cp\u003eConvert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e input  = [1 2 3 4]\u003c/pre\u003e\u003cpre\u003e output = [1 0 1 0\r\n           0 1 1 0\r\n           0 0 0 1]\u003c/pre\u003e","function_template":"function y = MakeBitPattern(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 2 3 4 5];\r\ny_correct = [1     0     1     0     1;...\r\n             0     1     1     0     0;...\r\n             0     0     0     1     1];\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n%%\r\nx = [1 15];\r\ny_correct = [1     1;...\r\n             0     1;...\r\n             0     1;...\r\n             0     1];\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n%%\r\nx = [255 127 63 31 15 7 3 1];\r\ny_correct = [1     1     1     1     1     1     1     1;...\r\n             1     1     1     1     1     1     1     0;...\r\n             1     1     1     1     1     1     0     0;...\r\n             1     1     1     1     1     0     0     0;...\r\n             1     1     1     1     0     0     0     0;...\r\n             1     1     1     0     0     0     0     0;...\r\n             1     1     0     0     0     0     0     0;...\r\n             1     0     0     0     0     0     0     0]\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":9342,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":81,"test_suite_updated_at":"2018-10-18T06:30:32.000Z","rescore_all_solutions":true,"group_id":45,"created_at":"2014-02-21T14:40:25.000Z","updated_at":"2026-03-24T13:34:30.000Z","published_at":"2014-02-21T14:54:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ input  = [1 2 3 4]\\n\\n output = [1 0 1 0\\n           0 1 1 0\\n           0 0 0 1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45663,"title":"Find the next binary palindrome number","description":"We all know, a *palindrome* is nothing but a number or character which remains the same after the forward or backward alteration of order. *202 or \"Mom\"* is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\r\n \r\nHowever, the problem is: how will you accomplish the task of *finding the next binary palindrome in an integer form as output* when you are given *a positive integer as input*.\r\n\r\n*Example: Input=2014 and Output=2015*","description_html":"\u003cp\u003eWe all know, a \u003cb\u003epalindrome\u003c/b\u003e is nothing but a number or character which remains the same after the forward or backward alteration of order. \u003cb\u003e202 or \"Mom\"\u003c/b\u003e is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\u003c/p\u003e\u003cp\u003eHowever, the problem is: how will you accomplish the task of \u003cb\u003efinding the next binary palindrome in an integer form as output\u003c/b\u003e when you are given \u003cb\u003ea positive integer as input\u003c/b\u003e.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample: Input=2014 and Output=2015\u003c/b\u003e\u003c/p\u003e","function_template":"function y=NextBinaryPalindrome(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 241;\r\ny_correct = 255;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx = 2020;\r\ny_correct = 2047;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx = 10051;\r\ny_correct =10233;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx =40504;\r\ny_correct =40569;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":430818,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-28T19:29:50.000Z","updated_at":"2020-05-28T19:41:28.000Z","published_at":"2020-05-28T19:41:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe all know, a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003epalindrome\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is nothing but a number or character which remains the same after the forward or backward alteration of order.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e202 or \\\"Mom\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHowever, the problem is: how will you accomplish the task of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efinding the next binary palindrome in an integer form as output\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e when you are given\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea positive integer as input\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample: Input=2014 and Output=2015\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1468,"title":"Numbers at bit-boundary","description":"Find if a number is on or below the bit-boundary, as defined below.\r\nExamples\r\n7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 102px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 51px; transform-origin: 407px 51px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209px 8px; transform-origin: 209px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind if a number is on or below the bit-boundary, as defined below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.5px 8px; transform-origin: 377.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = on_bit_boundary(x)\r\n\r\nend","test_suite":"%%\r\nx = 2^5;\r\ny_correct = true;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 2^5 - 5;\r\ny_correct = false;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 127\r\ny_correct = true;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 1023\r\nassert( isequal(on_bit_boundary(x),1) )\r\n\r\n%%\r\ny_correct = false;\r\nx = 501\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3378,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":35,"test_suite_updated_at":"2021-06-17T09:56:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-04-28T17:30:15.000Z","updated_at":"2025-10-30T18:59:13.000Z","published_at":"2013-04-28T17:32:24.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind if a number is on or below the bit-boundary, as defined below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56603,"title":"Is the number of 1s in a binary integer odd or even?","description":"Your function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\r\nFor example, if the input number is 10:\r\nTurn it into binary form: 1010\r\nCount 1s in the binary: 2\r\nJudge if it's even or odd: even\r\nSo the output is 1.\r\nTry to find the best algorithm! My best size is 22.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 204.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 102.375px; transform-origin: 407px 102.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eYour function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, if the input number is 10:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 40.875px; transform-origin: 391px 40.875px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTurn it into binary form: 1010\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCount 1s in the binary: 2\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eJudge if it's even or odd: even\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSo the output is 1.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry to find the best algorithm! My best size is 22.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function OOE = PopcntOOE(Input)\r\n\r\nend","test_suite":"%%\r\nassert(isequal(PopcntOOE(1:10),[-1    -1     1    -1     1     1    -1    -1     1     1]));\r\n%%\r\nassert(isequal(PopcntOOE(11:30),[-1     1    -1    -1     1    -1     1     1    -1     1    -1    -1     1     1    -1    -1     1    -1     1     1]));","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":362068,"edited_by":362068,"edited_at":"2022-11-15T09:04:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":23,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-15T08:58:54.000Z","updated_at":"2026-03-24T12:15:00.000Z","published_at":"2022-11-15T08:58:54.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if the input number is 10:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTurn it into binary form: 1010\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCount 1s in the binary: 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJudge if it's even or odd: even\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSo the output is 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry to find the best algorithm! My best size is 22.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":43103,"title":"X plus binary inverted x","description":"Given a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\r\n\r\nin example: \r\n\r\n n = 8\r\n x = 1 (00000001)\r\n n-bit binary inverted x = 254 (11111110)\r\n then y = 255","description_html":"\u003cp\u003eGiven a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\u003c/p\u003e\u003cp\u003ein example:\u003c/p\u003e\u003cpre\u003e n = 8\r\n x = 1 (00000001)\r\n n-bit binary inverted x = 254 (11111110)\r\n then y = 255\u003c/pre\u003e","function_template":"function y = xPlusInvX(x,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 8;\r\nx = 1;\r\ny_correct = 255;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 8;\r\nx = 100;\r\ny_correct = 255;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 2;\r\nx = 1;\r\ny_correct = 3;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 3;\r\nx = 4;\r\ny_correct = 7;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":94929,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":48,"test_suite_updated_at":"2016-10-19T11:40:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-06T07:36:56.000Z","updated_at":"2026-04-02T09:41:19.000Z","published_at":"2016-10-06T07:36:56.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ n = 8\\n x = 1 (00000001)\\n n-bit binary inverted x = 254 (11111110)\\n then y = 255]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":54990,"title":"Exponent of IEEE Single","description":"Output the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = exponent(x)\r\n  y = uint8(x);\r\nend","test_suite":"%%\r\nx = single(1);\r\ny_correct = uint8(127);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(100454.4324);\r\ny_correct = uint8(143);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(1694995438329000);\r\ny_correct = uint8(177);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(0);\r\ny_correct = uint8(0);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(-0.0);\r\ny_correct = uint8(0);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(inf);\r\ny_correct = uint8(255);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-12T18:27:22.000Z","updated_at":"2022-07-12T18:27:22.000Z","published_at":"2022-07-12T18:27:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1861,"title":"Binary","description":"Given a positive, integer n, create a function that returns the respective binary number in the form of a vector.\r\n\r\nExample:\r\n\r\n   input: 3\r\n  output: [1 1]","description_html":"\u003cp\u003eGiven a positive, integer n, create a function that returns the respective binary number in the form of a vector.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e   input: 3\r\n  output: [1 1]\u003c/pre\u003e","function_template":"function y = binary(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = [1];\r\nassert(isequal(binary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = [1 1 1];\r\nassert(isequal(binary(n),y_correct))\r\n\r\n%%\r\nn = 10;\r\ny_correct = [1 0 1 0];\r\nassert(isequal(binary(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":17224,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":224,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-09-06T15:49:18.000Z","updated_at":"2026-04-01T12:54:33.000Z","published_at":"2013-09-06T15:49:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a positive, integer n, create a function that returns the respective binary number in the form of a vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[   input: 3\\n  output: [1 1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1434,"title":"Implement full adder circuit","description":"Implement full adder circuit (Full Adder)\r\nInputs signals are a, b and cin. Output signal y = [cout sum]","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86px 8px; transform-origin: 86px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eImplement full adder circuit \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Adder_(electronics)\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e(Full Adder)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 186.5px 8px; transform-origin: 186.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInputs signals are a, b and cin. Output signal y = [cout sum]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = full_adder(a,b,cin)\r\n  y = a;\r\nend","test_suite":"%%\r\na = 1; b=0, cin=0;\r\ny = [0 1];\r\nassert(isequal(full_adder(a,b,cin),y))\r\n%%\r\na = [0;1;0;1;0;1;0;1]; b=[0;0;1;1;0;0;1;1];cin=[0;0;0;0;1;1;1;1];;\r\ny = [0 0;0 1;0 1; 1 0;0 1; 1 0;1 0;1 1];\r\nassert(isequal(full_adder(a,b,cin),y))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":10792,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":54,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-04-19T18:43:15.000Z","updated_at":"2026-03-09T21:01:32.000Z","published_at":"2021-08-22T19:13:05.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImplement full adder circuit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Adder_(electronics)\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e(Full Adder)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInputs signals are a, b and cin. Output signal y = [cout sum]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2270,"title":"Bit calculation","description":"Give me the count of numbers from 1 to n having their last two bits as 0.\r\n\r\nFor example\r\n\r\nfunction y = ret_count(4)\r\n\r\n  y = x;\r\n\r\nend\r\n\r\nHere 4 means you have to check the numbers between 1 to 4.\r\n\r\n\r\nSo the answer will be 1 as binary value of 4 is 00000100.\r\n\r\nHere n in the function is the number of numbers to be checked starting from 1.","description_html":"\u003cp\u003eGive me the count of numbers from 1 to n having their last two bits as 0.\u003c/p\u003e\u003cp\u003eFor example\u003c/p\u003e\u003cp\u003efunction y = ret_count(4)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ey = x;\r\n\u003c/pre\u003e\u003cp\u003eend\u003c/p\u003e\u003cp\u003eHere 4 means you have to check the numbers between 1 to 4.\u003c/p\u003e\u003cp\u003eSo the answer will be 1 as binary value of 4 is 00000100.\u003c/p\u003e\u003cp\u003eHere n in the function is the number of numbers to be checked starting from 1.\u003c/p\u003e","function_template":"function y = ret_count(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 0;\r\nassert(isequal(ret_count(n),y_correct))\r\n\r\n\r\n%%\r\nn = 4;\r\ny_correct = 1;\r\nassert(isequal(ret_count(n),y_correct))\r\n\r\n%%\r\nn = 72;\r\ny_correct = 18;\r\nassert(isequal(ret_count(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":243,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":45,"created_at":"2014-04-08T07:33:36.000Z","updated_at":"2026-03-10T17:18:51.000Z","published_at":"2014-04-08T07:33:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGive me the count of numbers from 1 to n having their last two bits as 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efunction y = ret_count(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[y = x;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eend\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere 4 means you have to check the numbers between 1 to 4.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSo the answer will be 1 as binary value of 4 is 00000100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere n in the function is the number of numbers to be checked starting from 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45327,"title":"Decimal to binary conversion (without using built-in function)","description":"convert the given decimal number to its equivalent binary without using built-in function.\r\n\r\n* n=18\r\n* out='10010'","description_html":"\u003cp\u003econvert the given decimal number to its equivalent binary without using built-in function.\u003c/p\u003e\u003cul\u003e\u003cli\u003en=18\u003c/li\u003e\u003cli\u003eout='10010'\u003c/li\u003e\u003c/ul\u003e","function_template":"function y = bin_conv(d)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(bin_conv(17),dec2bin(17)))\r\n%%\r\nassert(isequal(bin_conv(2),dec2bin(2)))\r\n%%\r\nassert(isequal(bin_conv(107),dec2bin(107)))\r\n%%\r\nassert(isequal(bin_conv(223),dec2bin(223)))\r\n%%\r\nassert(isequal(bin_conv(2437),dec2bin(2437)))\r\n%%\r\nassert(isequal(bin_conv(55),dec2bin(55)))\r\n%%\r\nassert(isequal(bin_conv(55.55),dec2bin(55.55)))\r\n%%\r\nfiletext = fileread('bin_conv.m');\r\nassert(isempty(strfind(filetext, 'dec2bin')),'dec2bin() forbidden')\r\nassert(isempty(strfind(filetext, 'de2bi')),'de2bi() forbidden')\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2020-02-14T20:11:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-14T20:03:27.000Z","updated_at":"2026-02-21T13:51:55.000Z","published_at":"2020-02-14T20:11:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003econvert the given decimal number to its equivalent binary without using built-in function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=18\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eout='10010'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1488,"title":"Generate binary combinations for a given number of bit(s)","description":"Generate the binary combination as in the example below.\r\n \r\nExample: If you are given: \r\n\r\n bin_comb(2)\r\n\r\nThe answer will be:  \r\n\r\n 0 0\r\n 0 1\r\n 1 0\r\n 1 1\r\n\r\nThe answer will appear in double class.\r\n","description_html":"\u003cp\u003eGenerate the binary combination as in the example below.\u003c/p\u003e\u003cp\u003eExample: If you are given:\u003c/p\u003e\u003cpre\u003e bin_comb(2)\u003c/pre\u003e\u003cp\u003eThe answer will be:\u003c/p\u003e\u003cpre\u003e 0 0\r\n 0 1\r\n 1 0\r\n 1 1\u003c/pre\u003e\u003cp\u003eThe answer will appear in double class.\u003c/p\u003e","function_template":"function b = bin_comb(bits)\r\n  b= expression(bits);   \r\n  % write an expression to generate binary combination for a    \r\n  % given no. of bits\r\nend","test_suite":"%%\r\nbits = 1;\r\ny_correct = [0; 1];\r\nassert(isequal(bin_comb(bits),y_correct))\r\n%%\r\nbits = 2;\r\ny_correct = [0 0;0 1; 1 0; 1 1]\r\nassert(isequal(bin_comb(bits),y_correct))\r\n%%\r\nbits = 3;\r\ny_correct = [0 0 0;0 0 1;0 1 0;0 1 1;1 0 0; 1 0 1; 1 1 0; 1 1 1]\r\nassert(isequal(bin_comb(bits),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":13514,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":"2013-05-06T20:51:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-05-04T07:13:19.000Z","updated_at":"2025-11-23T23:24:36.000Z","published_at":"2013-05-04T07:13:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGenerate the binary combination as in the example below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample: If you are given:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ bin_comb(2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe answer will be:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ 0 0\\n 0 1\\n 1 0\\n 1 1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe answer will appear in double class.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1090,"title":"Create a random logical vector of N elements of which M are true.","description":"Your task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\r\n\r\nFor example:\r\n\r\n  random_binary(10,4)\r\n\r\ncould result in \r\n\r\n  [1 0 0 1 1 0 0 0 1 0]\r\n\r\nThis task is related to \u003chttp://www.mathworks.nl/matlabcentral/cody/problems/1089 problem 1089\u003e.","description_html":"\u003cp\u003eYour task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003erandom_binary(10,4)\r\n\u003c/pre\u003e\u003cp\u003ecould result in\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e[1 0 0 1 1 0 0 0 1 0]\r\n\u003c/pre\u003e\u003cp\u003eThis task is related to \u003ca href=\"http://www.mathworks.nl/matlabcentral/cody/problems/1089\"\u003eproblem 1089\u003c/a\u003e.\u003c/p\u003e","function_template":"function y = random_binary(n,m)\r\n  y = true(1,n);\r\nend","test_suite":"%%\r\nn = 10;\r\nm = 4;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.45)\u003c0.2)\r\n\r\n%%\r\nn = 1000;\r\nm = 500;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.45)\u003c0.05)\r\n\r\n%%\r\nn = 500;\r\nm = 20;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.18)\u003c0.05)\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":6556,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":103,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-12-04T10:13:03.000Z","updated_at":"2025-10-28T06:15:54.000Z","published_at":"2012-12-04T10:13:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[random_binary(10,4)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ecould result in\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[1 0 0 1 1 0 0 0 1 0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis task is related to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.nl/matlabcentral/cody/problems/1089\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eproblem 1089\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61138,"title":"Apply the planing transform to natural numbers","description":"Claude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a carpenter’s plane to each run and shaving off a number. If the original sequence is \r\n1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\r\nThen the transformed sequence would be\r\n1, 3, 3, 4, 5, 5, 5, 5, 5, 7\r\nLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\r\n2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \r\n4 is 100 in binary, which transforms to 0, which is 0 in decimal\r\n13 is 1101 in binary, which transforms to 1, which is 1 in decimal\r\n27 is 11011 in binary, which transforms to 11, which is 3 in decimal\r\n900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\r\nWrite a function to apply the planing transform to natural numbers. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 378.188px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 189.087px; transform-origin: 408px 189.094px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eClaude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Plane_(tool)\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ecarpenter’s plane\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to each run and shaving off a number. If the original sequence is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen the transformed sequence would be\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 3, 3, 4, 5, 5, 5, 5, 5, 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.188px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 51.0875px; transform-origin: 391px 51.0938px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4 is 100 in binary, which transforms to 0, which is 0 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e13 is 1101 in binary, which transforms to 1, which is 1 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e27 is 11011 in binary, which transforms to 11, which is 3 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to apply the planing transform to natural numbers. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = raboter(x)\r\n  y = dec2bin(x)-'0'-'1';\r\nend","test_suite":"%%\r\nassert(all(arrayfun(@raboter,[0 1 2 4 5 8 9 10])==0))\r\n\r\n%%\r\nassert(isequal(raboter(13),1))\r\n\r\n%%\r\nassert(isequal(raboter(27),3))\r\n\r\n%%\r\nassert(isequal(raboter(95),15))\r\n\r\n%%\r\nassert(isequal(raboter(319),31))\r\n\r\n%%\r\nassert(isequal(raboter(900),48))\r\n\r\n%%\r\nassert(isequal(raboter(2168),28))\r\n\r\n%%\r\nassert(isequal(raboter(12575),271))\r\n\r\n%%\r\nassert(isequal(raboter(543047),3))\r\n\r\n%%\r\nassert(isequal(raboter(9502681),2046))\r\n\r\n%%\r\nassert(isequal(raboter(15263748),13056))\r\n\r\n%%\r\nn = randi(15);\r\nassert(isequal(raboter(2^n-1),2^(n-1)-1))\r\n\r\n%%\r\nn = randi(1e7);\r\nassert(isequal(raboter(4*n+3),2*raboter(2*n+1)+1))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-12-15T00:27:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-15T00:23:21.000Z","updated_at":"2026-02-26T11:04:05.000Z","published_at":"2025-12-15T00:24:54.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eClaude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Plane_(tool)\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecarpenter’s plane\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to each run and shaving off a number. If the original sequence is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen the transformed sequence would be\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1, 3, 3, 4, 5, 5, 5, 5, 5, 7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 is 100 in binary, which transforms to 0, which is 0 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e13 is 1101 in binary, which transforms to 1, which is 1 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e27 is 11011 in binary, which transforms to 11, which is 3 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to apply the planing transform to natural numbers. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60992,"title":"find powers of two","description":"find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\r\n\r\nexample:\r\nn = 23\r\nresult = [1 2 4 16]\r\n\r\nthe result does not need to be in any specific order","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 100.5px; transform-origin: 408px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.392px 8px; transform-origin: 254.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.4px 8px; transform-origin: 28.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eexample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.65px 8px; transform-origin: 19.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 23\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.2583px 8px; transform-origin: 54.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eresult = [1 2 4 16]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 156.758px 8px; transform-origin: 156.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe result does not need to be in any specific order\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = powersOfTwo(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nx = 24;\r\ny_correct = [8 16];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 63;\r\ny_correct = [1 2 4 8 16 32];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 999;\r\ny_correct = [1     2     4    32    64   128   256   512];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 16;\r\ny_correct = 16;\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":4925929,"edited_by":4925929,"edited_at":"2025-08-27T19:45:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-08-27T19:44:27.000Z","updated_at":"2026-03-04T12:26:58.000Z","published_at":"2025-08-27T19:45:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eexample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 23\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eresult = [1 2 4 16]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe result does not need to be in any specific order\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1226,"title":"Non-zero bits in 10^n.","description":"Given an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\r\nFor example:\r\nn = 1, 10^n = 1010, so k = 2.\r\nn = 5, 10^n = 11000011010100000, so k = 6.\r\nThe solution should work for arbitrarily large powers n, say at least till n = 100.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 142.867px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 71.4333px; transform-origin: 407px 71.4333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 320.5px 8px; transform-origin: 320.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4333px; transform-origin: 391px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 89.5px 8px; transform-origin: 89.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 1, 10^n = 1010, so k = 2.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 5, 10^n = 11000011010100000, so k = 6.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 245.5px 8px; transform-origin: 245.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe solution should work for arbitrarily large powers n, say at least till n = 100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = num_ones(n)\r\n  k = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('num_ones.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nn = 0;\r\nk_correct = 1;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 1;\r\nk_correct = 2;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 2;\r\nk_correct = 3;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 5;\r\nk_correct = 6;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 10;\r\nk_correct = 11;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 15;\r\nk_correct = 20;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 22;\r\nk_correct = 25;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 23;\r\nk_correct = 27;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 45;\r\nk_correct = 53;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 100;\r\nk_correct = 105;\r\nassert(isequal(num_ones(n),k_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":8870,"edited_by":223089,"edited_at":"2023-01-09T11:26:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":"2023-01-09T11:26:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-25T11:35:50.000Z","updated_at":"2023-01-09T11:26:33.000Z","published_at":"2013-01-25T11:38:29.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 1, 10^n = 1010, so k = 2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 5, 10^n = 11000011010100000, so k = 6.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe solution should work for arbitrarily large powers n, say at least till n = 100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":43977,"title":"Converting binary to decimals","description":"Convert binary to decimals.\r\n\r\nExample:\r\n\r\n010111 = 23. \r\n\r\n110000 = 48.","description_html":"\u003cp\u003eConvert binary to decimals.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003e010111 = 23.\u003c/p\u003e\u003cp\u003e110000 = 48.\u003c/p\u003e","function_template":"function y = bin_to_dec(d)\r\n  y = d;\r\nend","test_suite":"%%\r\nd = ('010111');\r\ny_correct = 23;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n%%\r\nd = ('110000');\r\ny_correct = 48;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n%%\r\nd = ('1000110');\r\ny_correct = 70;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":108624,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1703,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-29T13:49:15.000Z","updated_at":"2026-04-07T19:29:41.000Z","published_at":"2016-12-29T13:51:20.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert binary to decimals.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e010111 = 23.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e110000 = 48.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2202,"title":"Flip the bit","description":"Given an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').","description_html":"\u003cp\u003eGiven an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').\u003c/p\u003e","function_template":"function y = flipbit(s)\r\n  y = '010101';\r\nend","test_suite":"%%\r\ns = '1001';\r\ny_correct = '0110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '11';\r\ny_correct = '00';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '1';\r\ny_correct = '0';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '100000001';\r\ny_correct = '011111110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '00001';\r\ny_correct = '11110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":2,"created_by":39,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":535,"test_suite_updated_at":"2014-02-20T18:44:05.000Z","rescore_all_solutions":false,"group_id":32,"created_at":"2014-02-20T15:53:55.000Z","updated_at":"2026-03-19T20:08:33.000Z","published_at":"2014-02-20T15:56:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2522,"title":"Convert given decimal number to binary number. ","description":"Convert given decimal number to binary number.\r\nExample x=10, then answer must be 1010.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConvert given decimal number to binary number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133px 8px; transform-origin: 133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample x=10, then answer must be 1010.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dec_bin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 0;\r\nassert(isequal(dec_bin(x),x))\r\n%%\r\nx = 10;\r\ny_correct = 1010;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct =  10;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct =  1111;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct =  101;\r\nassert(isequal(dec_bin(x),y_correct))","published":true,"deleted":false,"likes_count":20,"comments_count":4,"created_by":27760,"edited_by":223089,"edited_at":"2022-05-02T16:13:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2285,"test_suite_updated_at":"2022-05-02T16:13:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-08-20T07:56:26.000Z","updated_at":"2026-04-07T19:18:49.000Z","published_at":"2014-08-20T07:56:26.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert given decimal number to binary number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample x=10, then answer must be 1010.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58399,"title":"Sign of IEEE Single","description":"Output the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \"1\" or the uint8 \"0\".","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 10.5px; transform-origin: 407.5px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \"1\" or the uint8 \"0\".\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = signBit(x)\r\n    y = uint8(x);\r\nend","test_suite":"%%\r\nx = single(1);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(0.125);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-1);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-0.125);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(10000.15);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-1000.15);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(0.0);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-0.0);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-06-07T20:12:38.000Z","updated_at":"2023-06-07T20:12:38.000Z","published_at":"2023-06-07T20:12:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \\\"1\\\" or the uint8 \\\"0\\\".\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58404,"title":"Mantissa of IEEE Single","description":"Output the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 21px; transform-origin: 407.5px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21px; text-align: left; transform-origin: 384.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = mantissa(x)\r\n    y = uint32(x);\r\nend","test_suite":"%%\r\nx = single(4);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-23);\r\ny_correct = uint32(1);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-22);\r\ny_correct = uint32(2);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-1-2^-22);\r\ny_correct = uint32(2);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-23+2^-22);\r\ny_correct = uint32(3);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-1-2^-23-2^-22);\r\ny_correct = uint32(3);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(100454.4324);\r\ny_correct = uint32(4469559);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1694995438329000);\r\ny_correct = uint32(4240092);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(0);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-0.0);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(inf);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-inf);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-06-07T20:26:20.000Z","updated_at":"2023-06-07T20:26:20.000Z","published_at":"2023-06-07T20:26:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53880,"title":"List the vile numbers","description":"Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbers, the subject of Cody Problem 2734, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\r\nVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\r\nWrite a function to determine the th vile number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.5px; transform-origin: 407px 82.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.9px 8px; transform-origin: 87.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvil numbers, the subject of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/2733\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 2733\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 220.95px 8px; transform-origin: 220.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e have an even number of ones in their binary representations, whereas odious numbers, the subject of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/2734\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 2734\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.433px 8px; transform-origin: 203.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.633px 8px; transform-origin: 368.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.942px 8px; transform-origin: 102.942px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.45px 8px; transform-origin: 47.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth vile number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = vile(n)\r\n  y = 2*n-1;\r\nend","test_suite":"%%\r\nn = [2 8];\r\ny_correct = [3 12];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [3 5];\r\ny_correct = [4 7];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 80;\r\ny_correct = 119;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 519;\r\ny_correct = 779;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [830 834 837];\r\ny_correct = [1244 1251 1255];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [3082 3089 3097];\r\ny_correct = [4623 4633 4645];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 7310;\r\ny_correct = 10965;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 9999;\r\ny_correct = 14999;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 8675309;\r\ny_correct = 13012964;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 20000000;\r\ny_correct = 29999999;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nfiletext = fileread('vile.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2022-07-02T13:04:19.000Z","deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-16T16:22:52.000Z","updated_at":"2026-01-15T13:39:50.000Z","published_at":"2022-01-16T16:27:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvil numbers, the subject of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/2733\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 2733\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e have an even number of ones in their binary representations, whereas odious numbers, the subject of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/2734\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 2734\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth vile number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45181,"title":"Take a binary number as input,rearrange it in any manner such that its value is greater than the original one.output should be all the possible values in decimal.","description":"a='001'\r\noutput =   [4,2]","description_html":"\u003cp\u003ea='001'\r\noutput =   [4,2]\u003c/p\u003e","function_template":"function y = rearr(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = '101';\r\ny_correct = [6];\r\nassert(isequal(rearr(x),y_correct))\r\n%%\r\nx = '0101';\r\ny_correct = [6 9 10 12];\r\nassert(isequal(rearr(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-10-20T18:48:30.000Z","updated_at":"2019-10-20T19:23:03.000Z","published_at":"2019-10-20T19:23:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea='001' output = [4,2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":138,"title":"Number of 1s in the Binary Representation of a Number","description":"*Description*\r\n\r\nReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\r\n\r\n*Example*\r\n\r\n   in = 215\r\n   out = 6 ","description_html":"\u003cp\u003e\u003cb\u003eDescription\u003c/b\u003e\u003c/p\u003e\u003cp\u003eReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample\u003c/b\u003e\u003c/p\u003e\u003cpre\u003e   in = 215\r\n   out = 6 \u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 215;\r\ny_correct = 6;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1:100;\r\ny_correct = [1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 2 3 3 4 3 4 4 5 3 4 4 5 4 5 5 6 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 2 3 3 4 3 4 4 5 3 4 4 5 4 5 5 6 2 3 3 4 3];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = magic(10);\r\ny_correct = [ 4  4  1  1  4  3  3  4  4  2\r\n              3  2  3  3  1  3  5  4  1  3\r\n              1  3  3  2  3  4  3  6  3  5\r\n              4  5  3  3  2  4  5  3  4  3\r\n              4  5  3  1  2  5  2  4  3  2\r\n              2  2  3  4  4  3  3  3  2  2\r\n              4  2  3  4  5  2  4  1  4  2\r\n              5  2  3  6  3  4  5  3  4  2\r\n              2  2  5  2  4  3  3  3  4  4\r\n              3  2  3  4  3  2  4  3  4  5 ];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":481,"test_suite_updated_at":"2012-01-28T08:41:00.000Z","rescore_all_solutions":false,"group_id":38,"created_at":"2012-01-28T08:41:00.000Z","updated_at":"2026-03-31T17:35:59.000Z","published_at":"2012-01-28T08:41:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[   in = 215\\n   out = 6]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1547,"title":"Relative ratio of \"1\" in binary number","description":"Input(n) is positive integer number\r\n\r\nOutput(r) is (number of \"1\" in binary input) / (number of bits).\r\n\r\nExample:\r\n\r\n* n=0; r=0\r\n* n=1; r=1\r\n* n=2; r=0.5\r\n","description_html":"\u003cp\u003eInput(n) is positive integer number\u003c/p\u003e\u003cp\u003eOutput(r) is (number of \"1\" in binary input) / (number of bits).\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cul\u003e\u003cli\u003en=0; r=0\u003c/li\u003e\u003cli\u003en=1; r=1\u003c/li\u003e\u003cli\u003en=2; r=0.5\u003c/li\u003e\u003c/ul\u003e","function_template":"function r = ones_ratio(n)\r\n  r = n;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct = 0.5;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = 1;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 128;\r\ny_correct = 0.125;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 1265476542;\r\ny_correct = 19/31;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 98917653181;\r\ny_correct = 23/37;\r\nassert(isequal(ones_ratio(x),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1601,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-04T23:29:28.000Z","updated_at":"2026-04-07T19:27:13.000Z","published_at":"2013-06-04T23:29:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput(n) is positive integer number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput(r) is (number of \\\"1\\\" in binary input) / (number of bits).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=0; r=0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=1; r=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=2; r=0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":511,"title":"Converting Decimal to Binary","description":"Given a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\r\n\r\nAs with \u003chttp://www.mathworks.com/help/techdoc/ref/dec2bin.html dec2bin\u003e, return your result in a string.\r\n\r\nExamples:\r\n\r\n Input  d = 2.5\r\n Output b is '10.1'\r\n\r\n Input  d = 34.125\r\n Output b is '100010.001'\r\n \r\n","description_html":"\u003cp\u003eGiven a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\u003c/p\u003e\u003cp\u003eAs with \u003ca href=\"http://www.mathworks.com/help/techdoc/ref/dec2bin.html\"\u003edec2bin\u003c/a\u003e, return your result in a string.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  d = 2.5\r\n Output b is '10.1'\u003c/pre\u003e\u003cpre\u003e Input  d = 34.125\r\n Output b is '100010.001'\u003c/pre\u003e","function_template":"function b = dec2bin_fractions(d)\r\n  b = 0;\r\nend","test_suite":"%%\r\nd = 1;\r\nb = '1';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 2.5;\r\nb = '10.1';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 34.125; \r\nb = '100010.001';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 452.8125;\r\nb = '111000100.1101';\r\nassert(isequal(dec2bin_fractions(d),b))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":2591,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":76,"test_suite_updated_at":"2012-03-20T18:00:02.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-20T14:21:56.000Z","updated_at":"2026-04-03T03:07:57.000Z","published_at":"2012-03-21T21:01:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs with\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/help/techdoc/ref/dec2bin.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003edec2bin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, return your result in a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  d = 2.5\\n Output b is '10.1'\\n\\n Input  d = 34.125\\n Output b is '100010.001']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":832,"title":"Convert single-precision floating-point number to binary representation","description":"Write a function which takes a scalar \u003chttp://en.wikipedia.org/wiki/Single-precision_floating-point_format single-precision floating-point number\u003e as input and returns its binary representation as a string of zeros and ones.\r\n\r\n\r\n*Example 1*\r\n\r\nx = single( *1.25* );\r\n\r\ny = *'00111111101000000000000000000000'*\r\n\r\n\r\n*Example 2*\r\n\r\nx = realmax('single'); % = *3.4028235e+038*\r\n\r\ny = *'01111111011111111111111111111111'*","description_html":"\u003cp\u003eWrite a function which takes a scalar \u003ca href=\"http://en.wikipedia.org/wiki/Single-precision_floating-point_format\"\u003esingle-precision floating-point number\u003c/a\u003e as input and returns its binary representation as a string of zeros and ones.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample 1\u003c/b\u003e\u003c/p\u003e\u003cp\u003ex = single( \u003cb\u003e1.25\u003c/b\u003e );\u003c/p\u003e\u003cp\u003ey = \u003cb\u003e'00111111101000000000000000000000'\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample 2\u003c/b\u003e\u003c/p\u003e\u003cp\u003ex = realmax('single'); % = \u003cb\u003e3.4028235e+038\u003c/b\u003e\u003c/p\u003e\u003cp\u003ey = \u003cb\u003e'01111111011111111111111111111111'\u003c/b\u003e\u003c/p\u003e","function_template":"function y = single2bin(x)\r\n  y = '';\r\nend","test_suite":"%%\r\nx = single(1.25);\r\ny_correct = '00111111101000000000000000000000';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = realmax('single');\r\ny_correct = '01111111011111111111111111111111';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = realmin('single');\r\ny_correct = '00000000100000000000000000000000';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = single(-1.625e21);\r\ny_correct = '11100010101100000010111011001111';\r\nassert(isequal(single2bin(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":4823,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-14T12:27:07.000Z","updated_at":"2025-07-09T08:38:30.000Z","published_at":"2012-07-14T12:28:04.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function which takes a scalar\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Single-precision_floating-point_format\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esingle-precision floating-point number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e as input and returns its binary representation as a string of zeros and ones.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = single(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1.25\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e );\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ey =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'00111111101000000000000000000000'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = realmax('single'); % =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3.4028235e+038\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ey =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'01111111011111111111111111111111'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2891,"title":"Binary code (array)","description":"Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\r\n\r\nExample:\r\n\r\n Input  n = 123\r\n Output y =[1,1,1,1,0,1,1]\r\n\r\n","description_html":"\u003cp\u003eWrite a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e Input  n = 123\r\n Output y =[1,1,1,1,0,1,1]\u003c/pre\u003e","function_template":"function y = dectobin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2015;\r\ny_correct=[1,1,1,1,1,0,1,1,1,1,1];\r\nassert(isequal(dectobin(x),y_correct))\r\n%%\r\nx = 13;\r\ny_correct=[1,1,0,1];\r\nassert(isequal(dectobin(x),y_correct))\r\n%%\r\nx = 143;\r\ny_correct=[1,0,0,0,1,1,1,1];\r\nassert(isequal(dectobin(x),y_correct))","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":33976,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1548,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-01-28T15:49:50.000Z","updated_at":"2026-04-07T19:28:32.000Z","published_at":"2015-01-28T15:54:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  n = 123\\n Output y =[1,1,1,1,0,1,1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49835,"title":"Decimal to Binary conversion for Large Integers","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 436.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 218.45px; transform-origin: 407px 218.45px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDecimal integer, a base-10 number we normally use without fractional component, can be represented as \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Binary_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebinary\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, a base-2 number composed either 0 or 1. The procedure to convert a decimal integer X to its binary equivalent is as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 60px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30px; transform-origin: 391px 30px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDivide X by 2. The remainder (either 0 or 1) is the first binary value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDivide the quotient of previous step by 2. The remainder is the next binary value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRepeat the process until the quotient cannot be divided anymore and so last binary is found.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 22.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.05px; text-align: left; transform-origin: 384px 11.05px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAs example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"141.5\" height=\"19.5\" style=\"width: 141.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e through process below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 223.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 111.8px; text-align: left; transform-origin: 384px 111.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"60\" height=\"218\" style=\"vertical-align: baseline;width: 60px;height: 218px\" src=\"https://upload.wikimedia.org/wikipedia/commons/d/d0/Decimal_to_Binary_Conversion.gif\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a decimal string input x, build a function dectobin(x) that returns its binary equivalent in character array. Unlike built-in dec2bin function, your function should also work for large integers up to thousands number of digits.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dectobin(x)\r\n  y = x;\r\nend","test_suite":"clear\r\n%%\r\nbannedWords = {'regexp','regexpi','import','java'};\r\nassessFunctionAbsence(bannedWords,'Filename','dectobin.m')\r\n\r\n%%\r\nx = '0';\r\ny_correct = x;\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '1';\r\ny_correct = x;\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '13';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '1234';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '123456789';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = num2str(randi([1e6 1e9])); % 7-10 digits\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n \r\n%%\r\nx = num2str(int64(randi([1e14 1e15]))); % 15-16 digits\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\n% 100 digits\r\nx = '9935889422099775700620749019825066687005320193436482650621467845674334663581207733950858713953594810';\r\ny_correct = '100100010101110101001011011110111011001010010010000001101010001111010001111000110111110100011000000010001001010111101101111101000101110000110110100100001101001010010001010000010011111111010100111111100110010011111001110111001111011111000010011101111100000000100000001011011000001010111001110001010101001101110011111011110110110111010';\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\n% 1,000 digits\r\nx = '3059201154261253530451690354977606310924322607284223918856338124374709270871880662494169428937121052075859797206813475095556104269276596500978875324047465920883111580522711413182514848655486194576723389296141674672149809829265420167820519225209898307641365760914568721866463844355172261421834003336488535238809007328873935253700111210006241805977393874531741494641320187019834745948717074377488851592337628009671305943507313220241345532153678625541382153876303729081245594666363375641541440039672508266173273547591929050186861649876277730738299377510850280883881669370053397327830542446255453962902873897458955875563317360197974644289445704776742967853660702740237720951325610419441880361333911947025395121778148262639261460523590232675016389707381618111484504793129877986986813532838182033892534760974140550358778239119177192242757139854881677013489678325929427533280319023842380171528893573940130880205407716783800858180602225696643483888830206964236483084265907918866516345819848257322544972900223';\r\ny_correct = '100101010000010000001101010010100110001010110110111010110011000100110001100101100011010101101110000011101111100011011101110100000001001001011110000111111011111011111000010010000010011011110011111010101100001111001111111100010001100110011101011011100101001001011100111000011000111100110110110100001000110101011010001110110111010010001111111101100110111110110100101010000110100010110101110011100111100011100000101001001011110010010000110011001011111101100001001110010001111011011100001101100111000011001000101100000110011101000010001011110101110111010001110111011111000010100000010010000001001010001010110101010111100101100111010110011101001000111001001101100110010111011001010011010100011100010100111010110111011111111101010111011000000010111010110100001010001000110010011011000110111011110011101010100101101100000101010000101001000000000010010110000110100111111000111110001011001111110010001011011100011110011001110001101110010010101100101110100110100101000110001010110011000010011110101111110100010100011001101010101101110100001010000100001011010110110000111011001000001101111110011111000100001100000011101010011011000010111110100111100111010101001001001111001011000100001110101110001001110110010010101001000111001010100101110000110111001110001110111100110110101011010000001110110011010011011101100100000101111100001010010100000000001111101001011111110001100001001110101101111101101110111100001000001111101111111100100010111000011111001110011101001001110111001001111011000110000101100101000101100001001101000110000011010001111001110000100001011110111011011111111110000000011110101111101001100101010101111111011010001100100100001110000010110110100101100111111100100011101000111010100001001111110010101101100101010101011100000101101001110000010001011010110101100000011010100111010001111100100001001101000010011100110000010111111010000110010100000110101010000000001010000011011011101001010111010100111100011100011101101111010010110111001000111001001010000111100001110111110110000000001100011100010111110100010000110111110111110000001010000011010001001000011100011011010110010000010101011100100010110101000111110111101111110101011001101001000011110010101011000000000010110010000110010011100101000101101001111011010010101100110011011110101111111001010000100011111000100000010000101110100110100000111111011111011111011010110100000100100010011001010111101110010011011001010000111011111011100101111000100000100101010110000110000000001000100110100000111101111000011111110010101011101101100110111001011110101110000010000101110010100101000101111100110011111111111001001011101010111001001100110010101011101000101011110100100001111001111101110101100011110100001010110101110100011110001101001101011010110011101101011111101001010010110101001011001011001101110010100001001100101110001101100110010010010011111010011111110110000100010101011101001110000010010010110001100011100100011010011011010111010110100110011101000000101010101100110101000111111010000110011010000001111001111101000010111010111101100100111100001010001010110010100001010010010110110100101000001001101010101101100111011111101000110100000100110111010100111101011100111001111110001101111001111010101111111100101000111010101101011110010010001110001111111011000001001001000101010001000111101001011011001010010011011001010110110000011000001100110010011111011110010011101111111';\r\nassert(isequal(dectobin(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":392030,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-01-17T04:22:14.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-16T07:49:57.000Z","updated_at":"2025-11-19T01:41:17.000Z","published_at":"2021-01-16T08:14:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDecimal integer, a base-10 number we normally use without fractional component, can be represented as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Binary_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebinary\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, a base-2 number composed either 0 or 1. The procedure to convert a decimal integer X to its binary equivalent is as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide X by 2. The remainder (either 0 or 1) is the first binary value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide the quotient of previous step by 2. The remainder is the next binary value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRepeat the process until the quotient cannot be divided anymore and so last binary is found.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e357_{10} \\\\equiv 10010101101_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through process below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"218\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"60\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a decimal string input x, build a function dectobin(x) that returns its binary equivalent in character array. Unlike built-in dec2bin function, your function should also work for large integers up to thousands number of digits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"https://upload.wikimedia.org/wikipedia/commons/d/d0/Decimal_to_Binary_Conversion.gif\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":568,"title":"Number of 1s in a binary string","description":"Find the number of 1s in the given binary string.\r\nExample. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0","description_html":"\u003cp\u003eFind the number of 1s in the given binary string.\r\nExample. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0\u003c/p\u003e","function_template":"function y = one(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = '0000';\r\ny_correct = 0;\r\nassert(isequal(one(x),y_correct));\r\n\r\n%%\r\nx = '111';\r\ny_correct = 3;\r\nassert(isequal(one(x),y_correct));\r\n\r\n%%\r\nx = '1100101';\r\ny_correct = 4;\r\nassert(isequal(one(x),y_correct));\r\n","published":true,"deleted":false,"likes_count":63,"comments_count":4,"created_by":2974,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11066,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":14,"created_at":"2012-04-10T19:15:07.000Z","updated_at":"2026-04-08T00:09:12.000Z","published_at":"2012-04-10T19:15:11.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2678,"title":"Find out sum and carry of Binary adder","description":"Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. \r\n\r\nExamples\r\n\r\nPrevious carry is 1 and  x=y=1. Addition is 1 and carry is also 1. \r\n\r\nPrevious carry is 0 and  x=y=1. Addition is 0 and carry is also 1. \r\n\r\nPrevious carry is 0 and  x=1, y=0. Addition is 1 and carry is also 0. ","description_html":"\u003cp\u003eFind out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition.\u003c/p\u003e\u003cp\u003eExamples\u003c/p\u003e\u003cp\u003ePrevious carry is 1 and  x=y=1. Addition is 1 and carry is also 1.\u003c/p\u003e\u003cp\u003ePrevious carry is 0 and  x=y=1. Addition is 0 and carry is also 1.\u003c/p\u003e\u003cp\u003ePrevious carry is 0 and  x=1, y=0. Addition is 1 and carry is also 0.\u003c/p\u003e","function_template":"function [sum, carry] = bin_sum_carry(pc,x,y)\r\n  \r\nend","test_suite":"%%\r\nx = 1;\r\ny=1;\r\npc=1;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,1))\r\nassert(isequal(carry,1))\r\n%%\r\nx = 1;\r\ny=1;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,1))\r\n%%\r\nx = 1;\r\ny=0;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,1))\r\nassert(isequal(carry,0))\r\n%%\r\nx = 0;\r\ny=0;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,0))\r\n%%\r\nx = 1;\r\ny=1;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,1))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":3,"created_by":27760,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1706,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-11-18T04:58:05.000Z","updated_at":"2026-04-07T19:20:19.000Z","published_at":"2014-11-18T04:58:05.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 1 and x=y=1. Addition is 1 and carry is also 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 0 and x=y=1. Addition is 0 and carry is also 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 0 and x=1, y=0. Addition is 1 and carry is also 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":108,"title":"Given an unsigned integer x, find the largest y by rearranging the bits in x","description":"Given an unsigned integer x, find the largest y by rearranging the bits in x.\r\nExample:\r\n Input  x = 10\r\n Output y is 12\r\nsince 10 in binary is 1010 and 12 in binary is 1100.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 128px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 64px; transform-origin: 468.5px 64px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 228.717px 8px; transform-origin: 228.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an unsigned integer x, find the largest y by rearranging the bits in x.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 8px; transform-origin: 29.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 36px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 464.5px 18px; transform-origin: 464.5px 18px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 23.1px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 23.1px 8.5px; \"\u003ex = 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 26.95px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 26.95px 8.5px; \"\u003ey is 12\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 156.65px 8px; transform-origin: 156.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 10 in binary is 1010 and 12 in binary is 1100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = maxit(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('maxit.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp');\r\nassert(~illegal)\r\n\r\n%%\r\nx = 76;\r\ny_correct = 112;\r\nassert(isequal(maxit(x),y_correct))\r\n%%\r\nx = 555;\r\ny_correct = 992;\r\nassert(isequal(maxit(x),y_correct))\r\n\r\n%%\r\nx = 1000;\r\ny_correct = 1008;\r\nassert(isequal(maxit(x),y_correct))\r\n\r\n%%\r\nx = 10000000;\r\ny_correct = 16711680;\r\nassert(isequal(maxit(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":19,"comments_count":2,"created_by":166,"edited_by":223089,"edited_at":"2026-03-22T08:14:38.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1992,"test_suite_updated_at":"2026-03-22T08:14:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-01-26T08:18:49.000Z","updated_at":"2026-04-07T19:23:43.000Z","published_at":"2012-02-03T03:51:13.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an unsigned integer x, find the largest y by rearranging the bits in x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  x = 10\\n Output y is 12]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 10 in binary is 1010 and 12 in binary is 1100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1546,"title":"Create matrix with Gray code","description":"Output \"g\" should be a matrix of class double, with \u003chttp://en.wikipedia.org/wiki/Gray_code Gray reflected binary code\u003e.\r\n\r\nInput \"n\" is number of bits.\r\n\r\nExamples:\r\n\r\n n = 0,\r\n g = Empty matrix: 1-by-0\r\n\r\n n = 1,\r\n g = [0;1]\r\n\r\n n = 2,\r\n g = [0 0;0 1;1 1;1 0]\r\n","description_html":"\u003cp\u003eOutput \"g\" should be a matrix of class double, with \u003ca href = \"http://en.wikipedia.org/wiki/Gray_code\"\u003eGray reflected binary code\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eInput \"n\" is number of bits.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e n = 0,\r\n g = Empty matrix: 1-by-0\u003c/pre\u003e\u003cpre\u003e n = 1,\r\n g = [0;1]\u003c/pre\u003e\u003cpre\u003e n = 2,\r\n g = [0 0;0 1;1 1;1 0]\u003c/pre\u003e","function_template":"function g = gray_code(n)\r\n  g = n;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 1;\r\ny_correct(1) = [];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 1;\r\ny_correct = [0;1];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 2;\r\ny_correct = [0 0;0 1;1 1;1 0];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 5;\r\ny_correct = [0 0 0 0 0;0 0 0 0 1;0 0 0 1 1;0 0 0 1 0;0 0 1 1 0;0 0 1 1 1\r\n0 0 1 0 1;0 0 1 0 0;0 1 1 0 0;0 1 1 0 1;0 1 1 1 1;0 1 1 1 0;0 1 0 1 0\r\n0 1 0 1 1;0 1 0 0 1;0 1 0 0 0;1 1 0 0 0;1 1 0 0 1;1 1 0 1 1;1 1 0 1 0\r\n1 1 1 1 0;1 1 1 1 1;1 1 1 0 1;1 1 1 0 0;1 0 1 0 0;1 0 1 0 1;1 0 1 1 1\r\n1 0 1 1 0;1 0 0 1 0;1 0 0 1 1;1 0 0 0 1;1 0 0 0 0];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2013-06-03T13:08:25.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-03T10:06:10.000Z","updated_at":"2026-01-24T15:32:59.000Z","published_at":"2013-06-03T13:08:25.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput \\\"g\\\" should be a matrix of class double, with\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Gray_code\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGray reflected binary code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput \\\"n\\\" is number of bits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ n = 0,\\n g = Empty matrix: 1-by-0\\n\\n n = 1,\\n g = [0;1]\\n\\n n = 2,\\n g = [0 0;0 1;1 1;1 0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2046,"title":"Convert binary numbers to hexadecimal numbers","description":"Function must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\r\n\r\n*Example*:\r\n[1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'","description_html":"\u003cp\u003eFunction must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample\u003c/b\u003e:\r\n[1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'\u003c/p\u003e","function_template":"function y = bin2hex(x)\r\n  y = 'AB CD';\r\nend","test_suite":"%%\r\nx = [1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] ;\r\ny_correct = 'F0 E1';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = ones(1,80);\r\ny_correct = 'FF FF FF FF FF FF FF FF FF FF';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = zeros(1,8);\r\ny_correct = '00';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = '1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0';\r\ny_correct = '9E 6B E2 9A';\r\nassert(isequal(bin2hex(x),y_correct));","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":19725,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-12-13T15:48:33.000Z","updated_at":"2026-01-06T20:29:31.000Z","published_at":"2013-12-13T15:51:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFunction must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: [1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":59126,"title":"Compute the bubble popper fidget spinner sequence","description":"A fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and some evidence appears to support these claims.  \r\nIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \r\nGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \r\nWrite a function to compute the first  terms of the sequence for an -lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 626.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 313.35px; transform-origin: 407px 313.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.2px 8px; transform-origin: 367.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120292/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esome evidence\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.017px 8px; transform-origin: 105.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears to support these claims. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365.625px 8px; transform-origin: 365.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.525px 8px; transform-origin: 383.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.875px 8px; transform-origin: 111.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the first \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.95px 8px; transform-origin: 92.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e terms of the sequence for an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.433px 8px; transform-origin: 147.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 296.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 148.35px; text-align: left; transform-origin: 384px 148.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"305\" height=\"291\" style=\"vertical-align: baseline;width: 305px;height: 291px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bubblePopperFidgetSpinner(m,n)\r\n  y = mod(cumsum(primes(n)),m);\r\nend","test_suite":"%%\r\nm = 5;\r\nn = 20;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 4 5 1 9 11 3 7 6 22 23 19 27 25 17 19 18 16 24];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 50;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 37 45 37 36 100 96 97 101 109 45 47 46 44 108 100 36 52 54 50 18 19 83 67 75 11 27 91 83 67 99 107 106 42 40 8 10 2 6 7 23 31 63 59 51 115 114 50 54];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 13;\r\nn = 100;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 37 1061 1077 1073 1077 1141 5237 5749 1653 1637 1633 1649 1905 1913 1897 3945 4073 3561 3565 2541 493 485 487 359 375 383 319 2367 2495 2479 2447 6543 6287 6285 6797 7821 7837 7833 7897 7889 7893 5845 5333 7381 7377 7409 7281 7280 7536 7664 3568 3504 2480 2352 3376 3440 3424 3168 3176 3177 3305 3309 3311 3307 3179 3178 7274 7530 7466 7210 7202 7266 7270 7286 6262 6774 6782 6780 6908 7932 7928 7912 8168 8136 8072 8073 8077 7821 7813 7809 7808 7872 7880 8136 8152 8088 7960 6936];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 200;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 5;\r\nmaxlen_correct = [11 11];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==7),sum(y==19)],maxlen_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 500;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 75;\r\nmaxlen_correct = [10 10];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==2),sum(y==106)],maxlen_correct))\r\n\r\n%%\r\nm = 13;\r\nn = 1000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 5838;\r\nmaxlen_correct = [3 3];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==7960),sum(y==8136)],maxlen_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 2000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = 0.315;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 7;\r\nn = 5000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = -0.6098;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 13;\r\nn = 10000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = -21.9005999999;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 5;\r\nn = 20000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nsd_correct = 25;\r\nassert(isequal(setdiff(0:2^m-1,unique(y(end-102:end))),sd_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 50000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nsd_correct = 62;\r\nassert(isequal(setdiff(0:2^m-1,unique(y(end-1320:end))),sd_correct))\r\n\r\n%%\r\nfiletext = fileread('bubblePopperFidgetSpinner.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-30T03:10:38.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-29T23:59:40.000Z","updated_at":"2024-12-06T20:30:20.000Z","published_at":"2023-10-29T23:59:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120292/\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esome evidence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e appears to support these claims. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the first \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e terms of the sequence for an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"291\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"305\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52689,"title":"Easy Sequences 18: Set Bits of Triple Summations","description":"The function S(n) is defined by the following triple summations:\r\n                            \r\nThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. Write the function 'bitS(n)', which is the number of bits set in the binary representation of S(n).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 127px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function S(n) is defined by the following triple summations:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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\" width=\"186\" height=\"46\" style=\"width: 186px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite the function 'bitS(n)', which is the number of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.quora.com/What-do-we-mean-by-a-set-bit\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebits set\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e in the binary representation of S(n).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bitS(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\ny_correct = 7;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 10000;\r\ny_correct = 17;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 1000000;\r\ny_correct = 19;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 100000000;\r\ny_correct = 25;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 12345678910;\r\ny_correct = 30;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nns = 1000:2000;\r\ny = sum(arrayfun(@(n) bitS(n),ns))\r\ny_correct = 10663;\r\nassert(isequal(y,y_correct))\r\n%%\r\nn = intmax-123;\r\ny_correct = 33;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = intmax('int64')-123456;\r\ny_correct = 74;\r\nassert(isequal(bitS(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-12T09:14:05.000Z","updated_at":"2025-12-22T16:36:34.000Z","published_at":"2021-09-12T10:34:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function S(n) is defined by the following triple summations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS(n)=\\\\left [\\\\sum_{k=2}^{n}\\\\sum_{j=2}^{k} \\\\sum_{i=2}^{j}\\\\frac{1}{\\\\log {_{i}}{\\\\left ( j! \\\\right )}}  \\\\right ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite the function 'bitS(n)', which is the number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.quora.com/What-do-we-mean-by-a-set-bit\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebits set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e in the binary representation of S(n).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53910,"title":"List the dopey numbers","description":"If vile numbers have binary representations that end with an even number of zeros (even  vile), then numbers with binary representations that end with an odd number of zeros are dopey (odd  dopey). \r\nWrite a function to determine the th dopey number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 72px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 36px; transform-origin: 407.5px 36px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21px; text-align: left; transform-origin: 384.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 7.66667px; transform-origin: 5.825px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/53880\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003evile numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 213.55px 7.66667px; transform-origin: 213.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e have binary representations that end with an even number of zeros (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 7.66667px; transform-origin: 7.78333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eev\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.725px 7.66667px; transform-origin: 9.725px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003een \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e→\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 7.66667px; transform-origin: 3.89167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ev\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.11667px 7.66667px; transform-origin: 3.11667px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eil\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 7.66667px; transform-origin: 3.89167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 7.66667px; transform-origin: 86.35px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), then numbers with binary representations that end with an odd number of zeros are dopey (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.55px 7.66667px; transform-origin: 8.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eod\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 7.66667px; transform-origin: 5.83333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ed \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e→\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.55px 7.66667px; transform-origin: 8.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003edo\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.66667px; transform-origin: 17.5px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003epey). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.942px 7.66667px; transform-origin: 102.942px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.66667px; transform-origin: 56.0083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth dopey number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dopey(n)\r\n  y = 3*n;\r\nend","test_suite":"%%\r\nn = [2 8];\r\ny_correct = [6 24];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [3 5];\r\ny_correct = [8 14];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 80;\r\ny_correct = 238;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 519;\r\ny_correct = 1558;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [830 834 837];\r\ny_correct = [2488 2502 2510];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [3082 3089 3097];\r\ny_correct = [9246 9266 9290];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 7310;\r\ny_correct = 21930;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 9999;\r\ny_correct = 29998;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 8675309;\r\ny_correct = 26025928;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 20000000;\r\ny_correct = 59999998;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nfiletext = fileread('dopey.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-18T00:10:33.000Z","updated_at":"2026-01-15T13:49:44.000Z","published_at":"2022-01-18T00:14:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/53880\\\"\u003e\u003cw:r\u003e\u003cw:t\u003evile numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e have binary representations that end with an even number of zeros (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eev\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003een \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"--\u0026gt;\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rightarrow\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eil\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e), then numbers with binary representations that end with an odd number of zeros are dopey (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eod\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ed \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"--\u0026gt;\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rightarrow\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003edo\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003epey). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth dopey number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44337,"title":"Sums of Distinct Powers","description":"You will be given three numbers: base, nstart, and nend.  Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base.  Your sequence should start with the 'nstart'th term and end with the 'nend'th term.  For example:\r\n\r\n* base=4\r\n* nstart=2\r\n* nend=6\r\n\r\nThe first several sums of the distinct powers of 4 are:\r\n\r\n* 1 (4^0)\r\n* 4 (4^1)\r\n* 5 (4^1 + 4^0)\r\n* 16 (4^2)\r\n* 17 (4^2 + 4^0)\r\n* 20 (4^2 + 4^1)\r\n* 21 (4^2 + 4^1 + 4^0)\r\n* 64 (4^3)\r\n* 65 (4^3 + 4^0)\r\n\r\nSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence.  The correct output would be 4+5+16+17+20, or 62.  Notice that the number 8 does not occur in this pattern.  While 8 is a multiple of 4, 8=4^1+4^1.  Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of *distinct* powers of 4.  You can assume that all three will be integers, base\u003e1, and that nstart\u003cnend.  Good luck!","description_html":"\u003cp\u003eYou will be given three numbers: base, nstart, and nend.  Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base.  Your sequence should start with the 'nstart'th term and end with the 'nend'th term.  For example:\u003c/p\u003e\u003cul\u003e\u003cli\u003ebase=4\u003c/li\u003e\u003cli\u003enstart=2\u003c/li\u003e\u003cli\u003enend=6\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThe first several sums of the distinct powers of 4 are:\u003c/p\u003e\u003cul\u003e\u003cli\u003e1 (4^0)\u003c/li\u003e\u003cli\u003e4 (4^1)\u003c/li\u003e\u003cli\u003e5 (4^1 + 4^0)\u003c/li\u003e\u003cli\u003e16 (4^2)\u003c/li\u003e\u003cli\u003e17 (4^2 + 4^0)\u003c/li\u003e\u003cli\u003e20 (4^2 + 4^1)\u003c/li\u003e\u003cli\u003e21 (4^2 + 4^1 + 4^0)\u003c/li\u003e\u003cli\u003e64 (4^3)\u003c/li\u003e\u003cli\u003e65 (4^3 + 4^0)\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence.  The correct output would be 4+5+16+17+20, or 62.  Notice that the number 8 does not occur in this pattern.  While 8 is a multiple of 4, 8=4^1+4^1.  Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of \u003cb\u003edistinct\u003c/b\u003e powers of 4.  You can assume that all three will be integers, base\u0026gt;1, and that nstart\u0026lt;nend.  Good luck!\u003c/p\u003e","function_template":"function y = sum_distinct_powers(base,nstart,nend)\r\n  y = base*nstart*nend;\r\nend","test_suite":"%%\r\nbase=4;nstart=2;nend=6;y_correct=62;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=5;nstart=1;nend=1000;y_correct=1193853250;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=3;nstart=1;nend=1000;y_correct=14438162;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=3;nstart=100;nend=1000;y_correct=14397354;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=2;nstart=1;nend=2017;y_correct=2035153;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=7;nstart=1234;nend=2345;y_correct=843569026324;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=7;nstart=1;nend=10;y_correct=1265;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nnstart=1;nend=50;\r\njunk=arrayfun(@(base) sum_distinct_powers(base,nstart,nend),2:10);\r\ny_correct=[1275 7120 26365 75000 178591 374560 714465 1266280 2116675];\r\nassert(isequal(junk,y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":9,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":156,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-09-18T16:30:15.000Z","updated_at":"2026-02-03T09:26:51.000Z","published_at":"2017-10-16T01:50:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base. Your sequence should start with the 'nstart'th term and end with the 'nend'th term. For example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebase=4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enstart=2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enend=6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first several sums of the distinct powers of 4 are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1 (4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 (4^1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e5 (4^1 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e16 (4^2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e17 (4^2 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e20 (4^2 + 4^1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e21 (4^2 + 4^1 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e64 (4^3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e65 (4^3 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence. The correct output would be 4+5+16+17+20, or 62. Notice that the number 8 does not occur in this pattern. While 8 is a multiple of 4, 8=4^1+4^1. Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003edistinct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e powers of 4. You can assume that all three will be integers, base\u0026gt;1, and that nstart\u0026lt;nend. Good luck!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":57492,"title":"Compute the Tetris sequence","description":"In the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \r\nThe discussion of this sequence involves odd gaps in the plot of the terms  (say) as a function of their position  in the sequence. A plot of  vs.  (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose using “facial recognition” to connect sequences.  \r\nWrite a function to compute the th term of the Tetris sequence.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 539.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 269.85px; transform-origin: 407px 269.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.833px 8px; transform-origin: 378.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 230.658px 8px; transform-origin: 230.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe discussion of this sequence involves odd gaps in the plot of the terms \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n)\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.458px 8px; transform-origin: 110.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (say) as a function of their position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the sequence. A plot of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n+1)\" style=\"width: 54px; height: 18.5px;\" width=\"54\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.825px 8px; transform-origin: 12.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e vs. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n)\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 237.267px 8px; transform-origin: 237.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://sites.math.rutgers.edu/~zeilberg/EM22/C27.pdf\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eusing “facial recognition”\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9px 8px; transform-origin: 73.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to connect sequences. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.6583px 8px; transform-origin: 98.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.1167px 8px; transform-origin: 94.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth term of the Tetris sequence.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 344.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 172.35px; text-align: left; transform-origin: 384px 172.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 346px;height: 339px\" 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\" data-image-state=\"image-loaded\" width=\"346\" height=\"339\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = tetris(n)\r\n  y = dec2bin(n);\r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = 8;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 15;\r\ny_correct = 32;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 51;\r\ny_correct = 29;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 155;\r\ny_correct = 167;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 515;\r\ny_correct = 480;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 1155;\r\ny_correct = 872;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 1511;\r\ny_correct = 3084;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 5151;\r\ny_correct = 9480;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 15151;\r\ny_correct = 7095;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nassert(isequal(tetris(tetris(10020)),18284))\r\n\r\n%%\r\nfiletext = fileread('tetris.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis') || contains(filetext, 'persistent') ||  contains(filetext, 'switch'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-05T14:35:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-01-05T14:35:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-02T15:12:40.000Z","updated_at":"2026-02-05T10:56:07.000Z","published_at":"2023-01-02T15:22:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe discussion of this sequence involves odd gaps in the plot of the terms \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (say) as a function of their position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the sequence. A plot of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n+1)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n+1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e vs. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://sites.math.rutgers.edu/~zeilberg/EM22/C27.pdf\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eusing “facial recognition”\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to connect sequences. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" 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binary numbers","description":"Write a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.508px 8.05px; transform-origin: 375.508px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = binmult(a,b)\r\n  y = dec2bin(bin2dec(a)*bin2dec(b));\r\nend","test_suite":"%%\r\na = '1011';\r\nb = '101';\r\ny_correct = '110111';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '1011';\r\nb = '101';\r\ny_correct = '110111';\r\nassert(isequal(binmult(b,a),y_correct))\r\n\r\n%%\r\na = '1010011101110011';\r\nb = '1111001001110011';\r\ny_correct = '10011110100101011110111010101001';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '101010101';\r\nb = '11011011';\r\ny_correct = '10010001110110111';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%% Tommy Tutone x Glenn Miller\r\na = '100001000101111111101101';\r\nb = '1111110111101000';\r\ny_correct = '1000001101001010110001000010011111001000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '100110011001000111010010010010011';\r\nb = '10101011010100101010000';\r\ny_correct = '1100110110001011111100000100111100101110111100011110000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '10111000101111001000101001001';\r\nb = '1000101010001101011001111011011';\r\ny_correct = '11000111111101110101101001110100010101101010101010001110011';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '111111111111111111111111000010';\r\nb = '1111111111111111111111110000011';\r\ny_correct = '1111111111111111111111100000111000000000000000001111001000110';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '10110101111001100010000011110100011111111111111';\r\nb = '10000001010110011011000100001000111000111000';\r\ny_correct = '101101111101000101100010110011100010111000111111001001110111001111001011010111000111001000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\nr = randi(18)+100;\r\na = repmat('1010',1,r);\r\nb = '11';\r\ny_correct = [repelem('1',1,4*r) '0'];\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\nfiletext = fileread('binmult.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'java') || contains(filetext, 'py'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-16T03:55:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-15T05:06:50.000Z","updated_at":"2021-09-16T03:55:20.000Z","published_at":"2021-09-15T05:12:04.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47073,"title":"Find the nth Fibbinary number","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 308.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.375px; transform-origin: 407px 154.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.117px 7.91667px; transform-origin: 255.117px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==\" alt=\"a_0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" alt=\"a_7\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.683px 7.91667px; transform-origin: 102.683px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(k)\" style=\"width: 32.5px; height: 19px;\" width=\"32.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.7167px 7.91667px; transform-origin: 37.7167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis that if the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf expansion\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"n = F(k_1) + F(k_2) + \\ldots + F(k_m)\" style=\"width: 199px; height: 20px;\" width=\"199\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6167px 7.91667px; transform-origin: 13.6167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13px; text-align: left; transform-origin: 384px 13px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a_n = 2^{k_1-2}+2^{k_2-2}+\\ldots+2^{k_m-2}\" style=\"width: 192px; height: 26px;\" width=\"192\" height=\"26\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 357.083px 7.91667px; transform-origin: 357.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 7.91667px; transform-origin: 42.7833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.975px 7.91667px; transform-origin: 148.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(3)+F(5)\" style=\"width: 79.5px; height: 19px;\" width=\"79.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.91667px; transform-origin: 17.5px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"10=2^{3-2}+2^{5-2} = 2+8\" style=\"width: 155px; height: 19.5px;\" width=\"155\" height=\"19.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.442px 7.91667px; transform-origin: 210.442px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.1px 7.91667px; transform-origin: 83.1px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 7.91667px; transform-origin: 65.7333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth Fibbinary number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Fibbinary(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 0;\r\ny_correct = 0;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = 5;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = 10;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77;\r\ny_correct = 321;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 777;\r\ny_correct = 9282;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 5000;\r\ny_correct = 140562;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7777;\r\ny_correct = 278597;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77777;\r\ny_correct = 8455236;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = 9704021;\r\nassert(isequal(Fibbinary(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-25T02:19:28.000Z","updated_at":"2020-10-27T04:39:32.000Z","published_at":"2020-10-25T03:48:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(k)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis that if the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf expansion\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(3)+F(5)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(3)+F(5)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"10=2^{3-2}+2^{5-2} = 2+8\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10=2^{3-2}+2^{5-2} = 2+8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth Fibbinary number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2869,"title":"There are 10 types of people in the world","description":"Those who know binary, and those who don't.\r\n\r\nThe number 2015 is a palindrome in binary (11111011111 to be exact)  Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome.  For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911.  You can assume all years are positive integers.\r\n\r\nGood luck!!kcul dooG","description_html":"\u003cp\u003eThose who know binary, and those who don't.\u003c/p\u003e\u003cp\u003eThe number 2015 is a palindrome in binary (11111011111 to be exact)  Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome.  For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911.  You can assume all years are positive integers.\u003c/p\u003e\u003cp\u003eGood luck!!kcul dooG\u003c/p\u003e","function_template":"function y = yearraey(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1881;y_correct = 30;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 2014;y_correct = 1;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 2015;y_correct = 0;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 606;y_correct = 27;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 6006;y_correct = 71;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 60006;y_correct = 369;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nk=zeros(1,15);\r\nfor n=1:15\r\n    y=2^n+2;\r\n    k(n)=yearraey(y);\r\nend\r\ny_correct=[1 1 5 3 11 7 23 15 47 31 95 63 191 127 383];\r\nassert(isequal(k,y_correct))","published":true,"deleted":false,"likes_count":32,"comments_count":4,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1289,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":45,"created_at":"2015-01-21T19:54:31.000Z","updated_at":"2026-04-07T02:28:16.000Z","published_at":"2015-01-21T19:54:31.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThose who know binary, and those who don't.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 2015 is a palindrome in binary (11111011111 to be exact) Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome. For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911. You can assume all years are positive integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGood luck!!kcul dooG\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":42736,"title":"Convert from integer to binary","description":"  if true\r\n    % decimalToBinaryVector(x)\r\n  end","description_html":"\u003cpre class=\"language-matlab\"\u003eif true\r\n  % decimalToBinaryVector(x)\r\nend\r\n\u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = decimalToBinaryVector(x);\r\nend","test_suite":"%%\r\nx = 8;\r\ny_correct = [1 0 0 0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":63355,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":115,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-02-19T00:22:18.000Z","updated_at":"2026-02-12T18:45:10.000Z","published_at":"2016-02-19T00:24:50.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[if true\\n  % decimalToBinaryVector(x)\\nend]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44654,"title":"convert the number to binary format \u0026 count digits","description":"Convert the given number to the corresponding binary format and count the number of digits in that binary number","description_html":"\u003cp\u003eConvert the given number to the corresponding binary format and count the number of digits in that binary number\u003c/p\u003e","function_template":"function y = dec_2_bin(x)\r\n \r\nend","test_suite":"%%\r\nx = 23;\r\ny_correct = 5;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 234;\r\ny_correct = 8;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 22;\r\ny_correct = 5;\r\nassert(isequal(dec_2_bin(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(dec_2_bin(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-25T11:50:28.000Z","updated_at":"2026-02-10T18:29:49.000Z","published_at":"2018-05-25T11:50:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert the given number to the corresponding binary format and count the number of digits in that binary number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43042,"title":"Convert decimal to binary and then generate the minimum binary  it can with jumbling","description":"input is 10 --\u003e 1010\r\noutput should be 3 --\u003e 0011\r\n\r\ninput 23 --\u003e 10111\r\noutput should be 15 --\u003e 01111","description_html":"\u003cp\u003einput is 10 --\u0026gt; 1010\r\noutput should be 3 --\u0026gt; 0011\u003c/p\u003e\u003cp\u003einput 23 --\u0026gt; 10111\r\noutput should be 15 --\u0026gt; 01111\u003c/p\u003e","function_template":"function y = minBin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 3;\r\nassert(isequal(minBin(x),y_correct))\r\n%%\r\nx = 23;\r\ny_correct = 15;\r\nassert(isequal(minBin(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = 15;\r\nassert(isequal(minBin(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":10,"comments_count":1,"created_by":13865,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":"2016-10-29T17:12:00.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T10:17:07.000Z","updated_at":"2026-03-24T11:36:00.000Z","published_at":"2016-10-05T10:17:07.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003einput is 10 --\u0026gt; 1010 output should be 3 --\u0026gt; 0011\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003einput 23 --\u0026gt; 10111 output should be 15 --\u0026gt; 01111\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44814,"title":"Find the complement of a number in binary","description":"Input x is a decimal number and output y is the complement of binary representation of x.\r\n\r\nFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit \r\n binary representation). \r\n\r\n  [0   0   0   0   1   0   1   0]\r\n\r\n\r\nAnd the output is\r\n\r\n  y = [1   1   1   1   0   1   0   1]\r\n\r\n\r\n","description_html":"\u003cp\u003eInput x is a decimal number and output y is the complement of binary representation of x.\u003c/p\u003e\u003cp\u003eFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit \r\n binary representation).\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e[0   0   0   0   1   0   1   0]\r\n\u003c/pre\u003e\u003cp\u003eAnd the output is\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ey = [1   1   1   1   0   1   0   1]\r\n\u003c/pre\u003e","function_template":"function y = find_comp(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [ 1   1   1   1   1   1   1   0];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = 67;\r\ny_correct = [1   0   1   1   1   1   0   0];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = 114;\r\ny_correct = [ 1   0   0   0   1   1   0   1];\r\nassert(isequal(find_comp(x),y_correct))\r\n\r\n%%\r\nx = -16;\r\ny_correct = [0   0   0   0   1   1   1   1];\r\nassert(isequal(find_comp(x), y_correct))\r\n\r\n%%\r\nx = -45;\r\ny_correct = [0   0   1   0   1   1   0   0];\r\nassert(isequal(find_comp(x), y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":276103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-01-02T03:46:55.000Z","updated_at":"2026-03-03T10:57:50.000Z","published_at":"2019-01-02T03:46:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput x is a decimal number and output y is the complement of binary representation of x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, x = 10 has the binary representation of 00001010 (Assume, 8-bit binary representation).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[0   0   0   0   1   0   1   0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd the output is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[y = [1   1   1   1   0   1   0   1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2412,"title":"Is My Wife Wrong?","description":"Answer the question.\r\n\r\n(see also \u003chttp://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right Problem 149: Is my wife right?\u003e)","description_html":"\u003cp\u003eAnswer the question.\u003c/p\u003e\u003cp\u003e(see also \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right\"\u003eProblem 149: Is my wife right?\u003c/a\u003e)\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = false;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":15333,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":342,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-10T19:24:27.000Z","updated_at":"2026-03-11T09:15:03.000Z","published_at":"2014-07-10T19:24:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnswer the question.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e(see also\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 149: Is my wife right?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43602,"title":"Convert array of decimal numbers into binary numbers array.","description":"Convert an array of decimal numbers into binary numbers array.\r\n\r\nFor example:\r\n\r\n x = [1 2 3 4 5 6 7 8];\r\n result = [1; 10; 11; 100; 101; 110; 111; 1000];","description_html":"\u003cp\u003eConvert an array of decimal numbers into binary numbers array.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre\u003e x = [1 2 3 4 5 6 7 8];\r\n result = [1; 10; 11; 100; 101; 110; 111; 1000];\u003c/pre\u003e","function_template":"function y = Converter(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 1:8;\r\ny_correct = [1 10 11 100 101 110 111 1000]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 8:20;\r\ny_correct = [1000 1001 1010 1011 1100 1101 1110 1111 10000 10001 10010 10011 10100]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 1:2:21;\r\ny_correct = [1 11 101 111 1001 1011 1101 1111 10001 10011 10101]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2.^(0:10);\r\ny_correct = [1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2.^(1:10) - 1;\r\ny_correct = [1 11 111 1111 11111 111111 1111111 11111111 111111111 1111111111]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 2:2:20;\r\ny_correct = [10 100 110 1000 1010 1100 1110 10000 10010 10100]';\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n\r\n%%\r\nx = 42;\r\ny_correct = 101010;\r\nassert(sum(abs(Converter(x)-y_correct))\u003c1e-3)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":"2016-12-02T19:25:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-23T12:45:06.000Z","updated_at":"2026-03-11T09:44:35.000Z","published_at":"2016-10-23T13:04:57.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert an array of decimal numbers into binary numbers array.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ x = [1 2 3 4 5 6 7 8];\\n result = [1; 10; 11; 100; 101; 110; 111; 1000];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43614,"title":"Convert binary numbers array into array of decimal numbers.","description":"Convert binary numbers array into array of decimal numbers.\r\nExample\r\nx=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\r\nres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 195px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 97.5px; transform-origin: 407px 97.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192px 8px; transform-origin: 192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConvert binary numbers array into array of decimal numbers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382px 8px; transform-origin: 382px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ex=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = BinToDec(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx=[ \r\n11001000 ;\r\n11001001 ; \r\n11001010 ;\r\n11001011 ;\r\n11001100 ;\r\n11001101 ;\r\n11001110 ;\r\n11001111 ;\r\n11010000 ;\r\n11010001 ;\r\n11010010 ;\r\n11010011 ;\r\n11010100 ;\r\n11010101 ;\r\n11010110 ;\r\n11010111 ; \r\n11011000 ; \r\n11011001 ;\r\n11011010 ; \r\n11011011 ;\r\n11011100 ;\r\n11011101 ; \r\n11011110 ;\r\n11011111 ;\r\n11100000 ; \r\n11100001 ;\r\n11100010 ;\r\n11100011 ;\r\n11100100 ;\r\n11100101 ;\r\n11100110 ];\r\ny_correct =[ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 ; 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230];\r\nassert(isequal(BinToDec(x),y_correct))\r\n%%\r\nx= [ \r\n101000000;\r\n101000001;\r\n101000010;\r\n101000011;\r\n101000100;\r\n101000101;\r\n101000110;\r\n101000111;\r\n101001000;\r\n101001001;\r\n101001010;\r\n101001011;\r\n101001100;\r\n101001101;\r\n101001110;\r\n101001111;\r\n101010000;\r\n101010001;\r\n101010010;\r\n101010011;\r\n101010100 ];\r\ny_correct =[ 320  ; 321  ; 322  ; 323  ; 324  ; 325  ; 326 ;  327  ; 328  ; 329  ; 330 ;  331 ;  332  ; 333  ; 334  ; 335  ; 336 ;  337 ;  338  ; 339  ; 340 ];\r\nassert(isequal(BinToDec(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":170,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-24T21:26:58.000Z","updated_at":"2026-03-31T17:53:25.000Z","published_at":"2016-10-24T21:27:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert binary numbers array into array of decimal numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[ 11001000 ; 11001001 ; 11001010 ; 11001011 ; 11001100 ; 11001101 ; 11001110 ; 11001111 ; 11010000 ; 11010001 ; 11010010 ; 11010011 ; 11010100 ; 11010101 ; 11010110 ; 11010111 ; 11011000 ; 11011001 ; 11011010 ; 11011011 ; 11011100 ; 11011101 ; 11011110 ; 11011111 ; 11100000 ; 11100001 ; 11100010 ; 11100011 ; 11100100 ; 11100101 ; 11100110]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eres= [ 200 ; 201 ; 202 ; 203 ; 204 ; 205 ; 206 ; 207 ; 208 ; 209 ; 210 ; 211 ; 212 213 ; 214 ; 215 ; 216 ; 217 ; 218 ; 219 ; 220 ; 221 ; 222 ; 223 ; 224 ; 225 ; 226 ; 227 ; 228 ; 229 ; 230]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1338,"title":"Binary Coder","description":"Take an input number and print the binary value of this number.","description_html":"\u003cp\u003eTake an input number and print the binary value of this number.\u003c/p\u003e","function_template":"function y = binary_coder(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 8;\r\ny_correct = 1000;\r\nassert(isequal(binary_coder(x),y_correct))\r\n\r\n%%\r\nx = 24;\r\ny_correct = 11000;\r\nassert(isequal(binary_coder(x),y_correct))","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":11534,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":273,"test_suite_updated_at":"2013-03-10T18:56:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-03-10T18:19:00.000Z","updated_at":"2026-03-27T18:21:15.000Z","published_at":"2013-03-10T18:19:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTake an input number and print the binary value of this number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2204,"title":"Convert a vector of Integers into a matrix of binaries","description":"Convert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\r\n\r\nExample\r\n\r\n input  = [1 2 3 4]\r\n\r\n output = [1 0 1 0\r\n           0 1 1 0\r\n           0 0 0 1]\r\n","description_html":"\u003cp\u003eConvert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e input  = [1 2 3 4]\u003c/pre\u003e\u003cpre\u003e output = [1 0 1 0\r\n           0 1 1 0\r\n           0 0 0 1]\u003c/pre\u003e","function_template":"function y = MakeBitPattern(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 2 3 4 5];\r\ny_correct = [1     0     1     0     1;...\r\n             0     1     1     0     0;...\r\n             0     0     0     1     1];\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n%%\r\nx = [1 15];\r\ny_correct = [1     1;...\r\n             0     1;...\r\n             0     1;...\r\n             0     1];\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n%%\r\nx = [255 127 63 31 15 7 3 1];\r\ny_correct = [1     1     1     1     1     1     1     1;...\r\n             1     1     1     1     1     1     1     0;...\r\n             1     1     1     1     1     1     0     0;...\r\n             1     1     1     1     1     0     0     0;...\r\n             1     1     1     1     0     0     0     0;...\r\n             1     1     1     0     0     0     0     0;...\r\n             1     1     0     0     0     0     0     0;...\r\n             1     0     0     0     0     0     0     0]\r\nassert(isequal(MakeBitPattern(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":9342,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":81,"test_suite_updated_at":"2018-10-18T06:30:32.000Z","rescore_all_solutions":true,"group_id":45,"created_at":"2014-02-21T14:40:25.000Z","updated_at":"2026-03-24T13:34:30.000Z","published_at":"2014-02-21T14:54:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert a vector of positive integers into a matrix containing their binary representation. Each column of the output contains the binary representation. The least significant bit is at the top.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ input  = [1 2 3 4]\\n\\n output = [1 0 1 0\\n           0 1 1 0\\n           0 0 0 1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45663,"title":"Find the next binary palindrome number","description":"We all know, a *palindrome* is nothing but a number or character which remains the same after the forward or backward alteration of order. *202 or \"Mom\"* is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\r\n \r\nHowever, the problem is: how will you accomplish the task of *finding the next binary palindrome in an integer form as output* when you are given *a positive integer as input*.\r\n\r\n*Example: Input=2014 and Output=2015*","description_html":"\u003cp\u003eWe all know, a \u003cb\u003epalindrome\u003c/b\u003e is nothing but a number or character which remains the same after the forward or backward alteration of order. \u003cb\u003e202 or \"Mom\"\u003c/b\u003e is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\u003c/p\u003e\u003cp\u003eHowever, the problem is: how will you accomplish the task of \u003cb\u003efinding the next binary palindrome in an integer form as output\u003c/b\u003e when you are given \u003cb\u003ea positive integer as input\u003c/b\u003e.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample: Input=2014 and Output=2015\u003c/b\u003e\u003c/p\u003e","function_template":"function y=NextBinaryPalindrome(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 241;\r\ny_correct = 255;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx = 2020;\r\ny_correct = 2047;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx = 10051;\r\ny_correct =10233;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n%%\r\nx =40504;\r\ny_correct =40569;\r\nassert(isequal(NextBinaryPalindrome(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":430818,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-28T19:29:50.000Z","updated_at":"2020-05-28T19:41:28.000Z","published_at":"2020-05-28T19:41:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe all know, a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003epalindrome\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is nothing but a number or character which remains the same after the forward or backward alteration of order.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e202 or \\\"Mom\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the best example of a palindrome which remains the same as before, after the backward or forward alteration done.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHowever, the problem is: how will you accomplish the task of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efinding the next binary palindrome in an integer form as output\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e when you are given\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea positive integer as input\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample: Input=2014 and Output=2015\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1468,"title":"Numbers at bit-boundary","description":"Find if a number is on or below the bit-boundary, as defined below.\r\nExamples\r\n7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 102px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 51px; transform-origin: 407px 51px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209px 8px; transform-origin: 209px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind if a number is on or below the bit-boundary, as defined below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.5px 8px; transform-origin: 377.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = on_bit_boundary(x)\r\n\r\nend","test_suite":"%%\r\nx = 2^5;\r\ny_correct = true;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 2^5 - 5;\r\ny_correct = false;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 127\r\ny_correct = true;\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n\r\n%%\r\nx = 1023\r\nassert( isequal(on_bit_boundary(x),1) )\r\n\r\n%%\r\ny_correct = false;\r\nx = 501\r\nassert( isequal(on_bit_boundary(x),y_correct) )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3378,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":35,"test_suite_updated_at":"2021-06-17T09:56:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-04-28T17:30:15.000Z","updated_at":"2025-10-30T18:59:13.000Z","published_at":"2013-04-28T17:32:24.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind if a number is on or below the bit-boundary, as defined below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e7,9 straddle the bit-boundary at 2^3 as do 31,32 at 2^5; in these cases 7,8 are on bit boundary as are 31, and 32, but 5 and 33 do not qualify by definition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56603,"title":"Is the number of 1s in a binary integer odd or even?","description":"Your function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\r\nFor example, if the input number is 10:\r\nTurn it into binary form: 1010\r\nCount 1s in the binary: 2\r\nJudge if it's even or odd: even\r\nSo the output is 1.\r\nTry to find the best algorithm! My best size is 22.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 204.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 102.375px; transform-origin: 407px 102.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eYour function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, if the input number is 10:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 40.875px; transform-origin: 391px 40.875px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTurn it into binary form: 1010\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCount 1s in the binary: 2\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eJudge if it's even or odd: even\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSo the output is 1.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry to find the best algorithm! My best size is 22.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function OOE = PopcntOOE(Input)\r\n\r\nend","test_suite":"%%\r\nassert(isequal(PopcntOOE(1:10),[-1    -1     1    -1     1     1    -1    -1     1     1]));\r\n%%\r\nassert(isequal(PopcntOOE(11:30),[-1     1    -1    -1     1    -1     1     1    -1     1    -1    -1     1     1    -1    -1     1    -1     1     1]));","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":362068,"edited_by":362068,"edited_at":"2022-11-15T09:04:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":23,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-15T08:58:54.000Z","updated_at":"2026-03-24T12:15:00.000Z","published_at":"2022-11-15T08:58:54.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, return -1; else, return 1 (for each input).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if the input number is 10:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTurn it into binary form: 1010\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCount 1s in the binary: 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJudge if it's even or odd: even\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSo the output is 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry to find the best algorithm! My best size is 22.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":43103,"title":"X plus binary inverted x","description":"Given a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\r\n\r\nin example: \r\n\r\n n = 8\r\n x = 1 (00000001)\r\n n-bit binary inverted x = 254 (11111110)\r\n then y = 255","description_html":"\u003cp\u003eGiven a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\u003c/p\u003e\u003cp\u003ein example:\u003c/p\u003e\u003cpre\u003e n = 8\r\n x = 1 (00000001)\r\n n-bit binary inverted x = 254 (11111110)\r\n then y = 255\u003c/pre\u003e","function_template":"function y = xPlusInvX(x,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 8;\r\nx = 1;\r\ny_correct = 255;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 8;\r\nx = 100;\r\ny_correct = 255;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 2;\r\nx = 1;\r\ny_correct = 3;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n%%\r\nn = 3;\r\nx = 4;\r\ny_correct = 7;\r\nassert(isequal(xPlusInvX(x,n),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":94929,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":48,"test_suite_updated_at":"2016-10-19T11:40:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-06T07:36:56.000Z","updated_at":"2026-04-02T09:41:19.000Z","published_at":"2016-10-06T07:36:56.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a n-bits number x, what is the sum of x to the binary inverted version of x? (this might be more simple than you think :-) )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ n = 8\\n x = 1 (00000001)\\n n-bit binary inverted x = 254 (11111110)\\n then y = 255]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":54990,"title":"Exponent of IEEE Single","description":"Output the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = exponent(x)\r\n  y = uint8(x);\r\nend","test_suite":"%%\r\nx = single(1);\r\ny_correct = uint8(127);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(100454.4324);\r\ny_correct = uint8(143);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(1694995438329000);\r\ny_correct = uint8(177);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(0);\r\ny_correct = uint8(0);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(-0.0);\r\ny_correct = uint8(0);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n\r\n%%\r\nx = single(inf);\r\ny_correct = uint8(255);\r\nassert(isequal(uint8(exponent(x)),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-12T18:27:22.000Z","updated_at":"2022-07-12T18:27:22.000Z","published_at":"2022-07-12T18:27:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1861,"title":"Binary","description":"Given a positive, integer n, create a function that returns the respective binary number in the form of a vector.\r\n\r\nExample:\r\n\r\n   input: 3\r\n  output: [1 1]","description_html":"\u003cp\u003eGiven a positive, integer n, create a function that returns the respective binary number in the form of a vector.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e   input: 3\r\n  output: [1 1]\u003c/pre\u003e","function_template":"function y = binary(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = [1];\r\nassert(isequal(binary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = [1 1 1];\r\nassert(isequal(binary(n),y_correct))\r\n\r\n%%\r\nn = 10;\r\ny_correct = [1 0 1 0];\r\nassert(isequal(binary(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":17224,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":224,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-09-06T15:49:18.000Z","updated_at":"2026-04-01T12:54:33.000Z","published_at":"2013-09-06T15:49:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a positive, integer n, create a function that returns the respective binary number in the form of a vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[   input: 3\\n  output: [1 1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1434,"title":"Implement full adder circuit","description":"Implement full adder circuit (Full Adder)\r\nInputs signals are a, b and cin. Output signal y = [cout sum]","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86px 8px; transform-origin: 86px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eImplement full adder circuit \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Adder_(electronics)\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e(Full Adder)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 186.5px 8px; transform-origin: 186.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInputs signals are a, b and cin. Output signal y = [cout sum]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = full_adder(a,b,cin)\r\n  y = a;\r\nend","test_suite":"%%\r\na = 1; b=0, cin=0;\r\ny = [0 1];\r\nassert(isequal(full_adder(a,b,cin),y))\r\n%%\r\na = [0;1;0;1;0;1;0;1]; b=[0;0;1;1;0;0;1;1];cin=[0;0;0;0;1;1;1;1];;\r\ny = [0 0;0 1;0 1; 1 0;0 1; 1 0;1 0;1 1];\r\nassert(isequal(full_adder(a,b,cin),y))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":10792,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":54,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-04-19T18:43:15.000Z","updated_at":"2026-03-09T21:01:32.000Z","published_at":"2021-08-22T19:13:05.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImplement full adder circuit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Adder_(electronics)\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e(Full Adder)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInputs signals are a, b and cin. Output signal y = [cout sum]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2270,"title":"Bit calculation","description":"Give me the count of numbers from 1 to n having their last two bits as 0.\r\n\r\nFor example\r\n\r\nfunction y = ret_count(4)\r\n\r\n  y = x;\r\n\r\nend\r\n\r\nHere 4 means you have to check the numbers between 1 to 4.\r\n\r\n\r\nSo the answer will be 1 as binary value of 4 is 00000100.\r\n\r\nHere n in the function is the number of numbers to be checked starting from 1.","description_html":"\u003cp\u003eGive me the count of numbers from 1 to n having their last two bits as 0.\u003c/p\u003e\u003cp\u003eFor example\u003c/p\u003e\u003cp\u003efunction y = ret_count(4)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ey = x;\r\n\u003c/pre\u003e\u003cp\u003eend\u003c/p\u003e\u003cp\u003eHere 4 means you have to check the numbers between 1 to 4.\u003c/p\u003e\u003cp\u003eSo the answer will be 1 as binary value of 4 is 00000100.\u003c/p\u003e\u003cp\u003eHere n in the function is the number of numbers to be checked starting from 1.\u003c/p\u003e","function_template":"function y = ret_count(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 0;\r\nassert(isequal(ret_count(n),y_correct))\r\n\r\n\r\n%%\r\nn = 4;\r\ny_correct = 1;\r\nassert(isequal(ret_count(n),y_correct))\r\n\r\n%%\r\nn = 72;\r\ny_correct = 18;\r\nassert(isequal(ret_count(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":243,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":45,"created_at":"2014-04-08T07:33:36.000Z","updated_at":"2026-03-10T17:18:51.000Z","published_at":"2014-04-08T07:33:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGive me the count of numbers from 1 to n having their last two bits as 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efunction y = ret_count(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[y = x;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eend\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere 4 means you have to check the numbers between 1 to 4.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSo the answer will be 1 as binary value of 4 is 00000100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere n in the function is the number of numbers to be checked starting from 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45327,"title":"Decimal to binary conversion (without using built-in function)","description":"convert the given decimal number to its equivalent binary without using built-in function.\r\n\r\n* n=18\r\n* out='10010'","description_html":"\u003cp\u003econvert the given decimal number to its equivalent binary without using built-in function.\u003c/p\u003e\u003cul\u003e\u003cli\u003en=18\u003c/li\u003e\u003cli\u003eout='10010'\u003c/li\u003e\u003c/ul\u003e","function_template":"function y = bin_conv(d)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(bin_conv(17),dec2bin(17)))\r\n%%\r\nassert(isequal(bin_conv(2),dec2bin(2)))\r\n%%\r\nassert(isequal(bin_conv(107),dec2bin(107)))\r\n%%\r\nassert(isequal(bin_conv(223),dec2bin(223)))\r\n%%\r\nassert(isequal(bin_conv(2437),dec2bin(2437)))\r\n%%\r\nassert(isequal(bin_conv(55),dec2bin(55)))\r\n%%\r\nassert(isequal(bin_conv(55.55),dec2bin(55.55)))\r\n%%\r\nfiletext = fileread('bin_conv.m');\r\nassert(isempty(strfind(filetext, 'dec2bin')),'dec2bin() forbidden')\r\nassert(isempty(strfind(filetext, 'de2bi')),'de2bi() forbidden')\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2020-02-14T20:11:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-14T20:03:27.000Z","updated_at":"2026-02-21T13:51:55.000Z","published_at":"2020-02-14T20:11:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003econvert the given decimal number to its equivalent binary without using built-in function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=18\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eout='10010'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1488,"title":"Generate binary combinations for a given number of bit(s)","description":"Generate the binary combination as in the example below.\r\n \r\nExample: If you are given: \r\n\r\n bin_comb(2)\r\n\r\nThe answer will be:  \r\n\r\n 0 0\r\n 0 1\r\n 1 0\r\n 1 1\r\n\r\nThe answer will appear in double class.\r\n","description_html":"\u003cp\u003eGenerate the binary combination as in the example below.\u003c/p\u003e\u003cp\u003eExample: If you are given:\u003c/p\u003e\u003cpre\u003e bin_comb(2)\u003c/pre\u003e\u003cp\u003eThe answer will be:\u003c/p\u003e\u003cpre\u003e 0 0\r\n 0 1\r\n 1 0\r\n 1 1\u003c/pre\u003e\u003cp\u003eThe answer will appear in double class.\u003c/p\u003e","function_template":"function b = bin_comb(bits)\r\n  b= expression(bits);   \r\n  % write an expression to generate binary combination for a    \r\n  % given no. of bits\r\nend","test_suite":"%%\r\nbits = 1;\r\ny_correct = [0; 1];\r\nassert(isequal(bin_comb(bits),y_correct))\r\n%%\r\nbits = 2;\r\ny_correct = [0 0;0 1; 1 0; 1 1]\r\nassert(isequal(bin_comb(bits),y_correct))\r\n%%\r\nbits = 3;\r\ny_correct = [0 0 0;0 0 1;0 1 0;0 1 1;1 0 0; 1 0 1; 1 1 0; 1 1 1]\r\nassert(isequal(bin_comb(bits),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":13514,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":"2013-05-06T20:51:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-05-04T07:13:19.000Z","updated_at":"2025-11-23T23:24:36.000Z","published_at":"2013-05-04T07:13:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGenerate the binary combination as in the example below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample: If you are given:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ bin_comb(2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe answer will be:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ 0 0\\n 0 1\\n 1 0\\n 1 1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe answer will appear in double class.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1090,"title":"Create a random logical vector of N elements of which M are true.","description":"Your task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\r\n\r\nFor example:\r\n\r\n  random_binary(10,4)\r\n\r\ncould result in \r\n\r\n  [1 0 0 1 1 0 0 0 1 0]\r\n\r\nThis task is related to \u003chttp://www.mathworks.nl/matlabcentral/cody/problems/1089 problem 1089\u003e.","description_html":"\u003cp\u003eYour task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003erandom_binary(10,4)\r\n\u003c/pre\u003e\u003cp\u003ecould result in\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e[1 0 0 1 1 0 0 0 1 0]\r\n\u003c/pre\u003e\u003cp\u003eThis task is related to \u003ca href=\"http://www.mathworks.nl/matlabcentral/cody/problems/1089\"\u003eproblem 1089\u003c/a\u003e.\u003c/p\u003e","function_template":"function y = random_binary(n,m)\r\n  y = true(1,n);\r\nend","test_suite":"%%\r\nn = 10;\r\nm = 4;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.45)\u003c0.2)\r\n\r\n%%\r\nn = 1000;\r\nm = 500;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.45)\u003c0.05)\r\n\r\n%%\r\nn = 500;\r\nm = 20;\r\ny = random_binary(n,m);\r\nassert(islogical(y) \u0026\u0026 isequal(sum(y),m) \u0026\u0026 abs(std(diff(y)\u003e0)-0.18)\u003c0.05)\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":6556,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":103,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-12-04T10:13:03.000Z","updated_at":"2025-10-28T06:15:54.000Z","published_at":"2012-12-04T10:13:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task for tomorrow is to create a random binary (logical) vector of N elements of which M are true.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[random_binary(10,4)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ecould result in\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[1 0 0 1 1 0 0 0 1 0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis task is related to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.nl/matlabcentral/cody/problems/1089\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eproblem 1089\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61138,"title":"Apply the planing transform to natural numbers","description":"Claude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a carpenter’s plane to each run and shaving off a number. If the original sequence is \r\n1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\r\nThen the transformed sequence would be\r\n1, 3, 3, 4, 5, 5, 5, 5, 5, 7\r\nLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\r\n2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \r\n4 is 100 in binary, which transforms to 0, which is 0 in decimal\r\n13 is 1101 in binary, which transforms to 1, which is 1 in decimal\r\n27 is 11011 in binary, which transforms to 11, which is 3 in decimal\r\n900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\r\nWrite a function to apply the planing transform to natural numbers. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 378.188px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 189.087px; transform-origin: 408px 189.094px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eClaude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Plane_(tool)\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ecarpenter’s plane\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to each run and shaving off a number. If the original sequence is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen the transformed sequence would be\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 3, 3, 4, 5, 5, 5, 5, 5, 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.188px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 51.0875px; transform-origin: 391px 51.0938px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4 is 100 in binary, which transforms to 0, which is 0 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e13 is 1101 in binary, which transforms to 1, which is 1 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e27 is 11011 in binary, which transforms to 11, which is 3 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to apply the planing transform to natural numbers. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = raboter(x)\r\n  y = dec2bin(x)-'0'-'1';\r\nend","test_suite":"%%\r\nassert(all(arrayfun(@raboter,[0 1 2 4 5 8 9 10])==0))\r\n\r\n%%\r\nassert(isequal(raboter(13),1))\r\n\r\n%%\r\nassert(isequal(raboter(27),3))\r\n\r\n%%\r\nassert(isequal(raboter(95),15))\r\n\r\n%%\r\nassert(isequal(raboter(319),31))\r\n\r\n%%\r\nassert(isequal(raboter(900),48))\r\n\r\n%%\r\nassert(isequal(raboter(2168),28))\r\n\r\n%%\r\nassert(isequal(raboter(12575),271))\r\n\r\n%%\r\nassert(isequal(raboter(543047),3))\r\n\r\n%%\r\nassert(isequal(raboter(9502681),2046))\r\n\r\n%%\r\nassert(isequal(raboter(15263748),13056))\r\n\r\n%%\r\nn = randi(15);\r\nassert(isequal(raboter(2^n-1),2^(n-1)-1))\r\n\r\n%%\r\nn = randi(1e7);\r\nassert(isequal(raboter(4*n+3),2*raboter(2*n+1)+1))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-12-15T00:27:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-15T00:23:21.000Z","updated_at":"2026-02-26T11:04:05.000Z","published_at":"2025-12-15T00:24:54.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eClaude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine applying a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Plane_(tool)\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecarpenter’s plane\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to each run and shaving off a number. If the original sequence is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen the transformed sequence would be\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1, 3, 3, 4, 5, 5, 5, 5, 5, 7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLet’s apply this transform to natural numbers by writing a number in binary, planing 1s and 0s from the runs in the binary representation, and converting back to decimal. If an empty string results from the planing, then set the result to zero. For example, the number 14 has the binary representation 1110. The transform removes one 1 and one (i.e., the only) 0 to leave 11, which has the decimal representation 3. Other examples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2 is 10 in binary, which transforms to the empty string, so we set the result to zero. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 is 100 in binary, which transforms to 0, which is 0 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e13 is 1101 in binary, which transforms to 1, which is 1 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e27 is 11011 in binary, which transforms to 11, which is 3 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e900 is 1110000100 in binary, which transforms to 110000, which is 48 in decimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to apply the planing transform to natural numbers. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60992,"title":"find powers of two","description":"find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\r\n\r\nexample:\r\nn = 23\r\nresult = [1 2 4 16]\r\n\r\nthe result does not need to be in any specific order","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 100.5px; transform-origin: 408px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.392px 8px; transform-origin: 254.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.4px 8px; transform-origin: 28.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eexample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.65px 8px; transform-origin: 19.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 23\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.2583px 8px; transform-origin: 54.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eresult = [1 2 4 16]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 156.758px 8px; transform-origin: 156.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe result does not need to be in any specific order\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = powersOfTwo(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nx = 24;\r\ny_correct = [8 16];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 63;\r\ny_correct = [1 2 4 8 16 32];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 999;\r\ny_correct = [1     2     4    32    64   128   256   512];\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))\r\n\r\n%%\r\nx = 16;\r\ny_correct = 16;\r\nassert(isequal(sort(powersOfTwo(x)),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":4925929,"edited_by":4925929,"edited_at":"2025-08-27T19:45:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-08-27T19:44:27.000Z","updated_at":"2026-03-04T12:26:58.000Z","published_at":"2025-08-27T19:45:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eexample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 23\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eresult = [1 2 4 16]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe result does not need to be in any specific order\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1226,"title":"Non-zero bits in 10^n.","description":"Given an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\r\nFor example:\r\nn = 1, 10^n = 1010, so k = 2.\r\nn = 5, 10^n = 11000011010100000, so k = 6.\r\nThe solution should work for arbitrarily large powers n, say at least till n = 100.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 142.867px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 71.4333px; transform-origin: 407px 71.4333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 320.5px 8px; transform-origin: 320.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4333px; transform-origin: 391px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 89.5px 8px; transform-origin: 89.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 1, 10^n = 1010, so k = 2.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en = 5, 10^n = 11000011010100000, so k = 6.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 245.5px 8px; transform-origin: 245.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe solution should work for arbitrarily large powers n, say at least till n = 100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = num_ones(n)\r\n  k = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('num_ones.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nn = 0;\r\nk_correct = 1;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 1;\r\nk_correct = 2;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 2;\r\nk_correct = 3;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 5;\r\nk_correct = 6;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 10;\r\nk_correct = 11;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 15;\r\nk_correct = 20;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 22;\r\nk_correct = 25;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 23;\r\nk_correct = 27;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 45;\r\nk_correct = 53;\r\nassert(isequal(num_ones(n),k_correct))\r\n\r\n%%\r\nn = 100;\r\nk_correct = 105;\r\nassert(isequal(num_ones(n),k_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":8870,"edited_by":223089,"edited_at":"2023-01-09T11:26:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":"2023-01-09T11:26:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-25T11:35:50.000Z","updated_at":"2023-01-09T11:26:33.000Z","published_at":"2013-01-25T11:38:29.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer that is a power of 10, find the number of non-zero bits, k, in its binary representation.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 1, 10^n = 1010, so k = 2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 5, 10^n = 11000011010100000, so k = 6.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe solution should work for arbitrarily large powers n, say at least till n = 100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":43977,"title":"Converting binary to decimals","description":"Convert binary to decimals.\r\n\r\nExample:\r\n\r\n010111 = 23. \r\n\r\n110000 = 48.","description_html":"\u003cp\u003eConvert binary to decimals.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003e010111 = 23.\u003c/p\u003e\u003cp\u003e110000 = 48.\u003c/p\u003e","function_template":"function y = bin_to_dec(d)\r\n  y = d;\r\nend","test_suite":"%%\r\nd = ('010111');\r\ny_correct = 23;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n%%\r\nd = ('110000');\r\ny_correct = 48;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n%%\r\nd = ('1000110');\r\ny_correct = 70;\r\nassert(isequal(bin_to_dec(d),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":108624,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1703,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-29T13:49:15.000Z","updated_at":"2026-04-07T19:29:41.000Z","published_at":"2016-12-29T13:51:20.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert binary to decimals.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e010111 = 23.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e110000 = 48.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2202,"title":"Flip the bit","description":"Given an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').","description_html":"\u003cp\u003eGiven an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').\u003c/p\u003e","function_template":"function y = flipbit(s)\r\n  y = '010101';\r\nend","test_suite":"%%\r\ns = '1001';\r\ny_correct = '0110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '11';\r\ny_correct = '00';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '1';\r\ny_correct = '0';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '100000001';\r\ny_correct = '011111110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n%%\r\ns = '00001';\r\ny_correct = '11110';\r\nassert(all(isequal(flipbit(s),y_correct)\u0026ischar(flipbit(s))))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":2,"created_by":39,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":535,"test_suite_updated_at":"2014-02-20T18:44:05.000Z","rescore_all_solutions":false,"group_id":32,"created_at":"2014-02-20T15:53:55.000Z","updated_at":"2026-03-19T20:08:33.000Z","published_at":"2014-02-20T15:56:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input character string (e.g. '1001'), return a character string with the bits flipped ('0110').\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2522,"title":"Convert given decimal number to binary number. ","description":"Convert given decimal number to binary number.\r\nExample x=10, then answer must be 1010.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConvert given decimal number to binary number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133px 8px; transform-origin: 133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample x=10, then answer must be 1010.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dec_bin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 0;\r\nassert(isequal(dec_bin(x),x))\r\n%%\r\nx = 10;\r\ny_correct = 1010;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct =  10;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct =  1111;\r\nassert(isequal(dec_bin(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct =  101;\r\nassert(isequal(dec_bin(x),y_correct))","published":true,"deleted":false,"likes_count":20,"comments_count":4,"created_by":27760,"edited_by":223089,"edited_at":"2022-05-02T16:13:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2285,"test_suite_updated_at":"2022-05-02T16:13:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-08-20T07:56:26.000Z","updated_at":"2026-04-07T19:18:49.000Z","published_at":"2014-08-20T07:56:26.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert given decimal number to binary number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample x=10, then answer must be 1010.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58399,"title":"Sign of IEEE Single","description":"Output the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \"1\" or the uint8 \"0\".","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 10.5px; transform-origin: 407.5px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \"1\" or the uint8 \"0\".\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = signBit(x)\r\n    y = uint8(x);\r\nend","test_suite":"%%\r\nx = single(1);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(0.125);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-1);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-0.125);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(10000.15);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-1000.15);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(0.0);\r\ny_correct = 0;\r\nassert(isequal(signBit(x),y_correct))\r\n\r\nx = single(-0.0);\r\ny_correct = 1;\r\nassert(isequal(signBit(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-06-07T20:12:38.000Z","updated_at":"2023-06-07T20:12:38.000Z","published_at":"2023-06-07T20:12:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 \\\"1\\\" or the uint8 \\\"0\\\".\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58404,"title":"Mantissa of IEEE Single","description":"Output the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 21px; transform-origin: 407.5px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21px; text-align: left; transform-origin: 384.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOutput the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = mantissa(x)\r\n    y = uint32(x);\r\nend","test_suite":"%%\r\nx = single(4);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-23);\r\ny_correct = uint32(1);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-22);\r\ny_correct = uint32(2);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-1-2^-22);\r\ny_correct = uint32(2);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1+2^-23+2^-22);\r\ny_correct = uint32(3);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-1-2^-23-2^-22);\r\ny_correct = uint32(3);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(100454.4324);\r\ny_correct = uint32(4469559);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(1694995438329000);\r\ny_correct = uint32(4240092);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(0);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-0.0);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(inf);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))\r\n\r\n%%\r\nx = single(-inf);\r\ny_correct = uint32(0);\r\nassert(isequal(uint32(mantissa(x)),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":2436475,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-06-07T20:26:20.000Z","updated_at":"2023-06-07T20:26:20.000Z","published_at":"2023-06-07T20:26:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the least significant bits of the uint32.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53880,"title":"List the vile numbers","description":"Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbers, the subject of Cody Problem 2734, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\r\nVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\r\nWrite a function to determine the th vile number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.5px; transform-origin: 407px 82.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.9px 8px; transform-origin: 87.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvil numbers, the subject of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/2733\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 2733\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 220.95px 8px; transform-origin: 220.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e have an even number of ones in their binary representations, whereas odious numbers, the subject of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/2734\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 2734\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.433px 8px; transform-origin: 203.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.633px 8px; transform-origin: 368.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.942px 8px; transform-origin: 102.942px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.45px 8px; transform-origin: 47.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth vile number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = vile(n)\r\n  y = 2*n-1;\r\nend","test_suite":"%%\r\nn = [2 8];\r\ny_correct = [3 12];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [3 5];\r\ny_correct = [4 7];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 80;\r\ny_correct = 119;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 519;\r\ny_correct = 779;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [830 834 837];\r\ny_correct = [1244 1251 1255];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = [3082 3089 3097];\r\ny_correct = [4623 4633 4645];\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 7310;\r\ny_correct = 10965;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 9999;\r\ny_correct = 14999;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 8675309;\r\ny_correct = 13012964;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nn = 20000000;\r\ny_correct = 29999999;\r\nassert(isequal(vile(n),y_correct))\r\n\r\n%%\r\nfiletext = fileread('vile.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2022-07-02T13:04:19.000Z","deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-16T16:22:52.000Z","updated_at":"2026-01-15T13:39:50.000Z","published_at":"2022-01-16T16:27:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvil numbers, the subject of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/2733\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 2733\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e have an even number of ones in their binary representations, whereas odious numbers, the subject of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/2734\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 2734\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth vile number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45181,"title":"Take a binary number as input,rearrange it in any manner such that its value is greater than the original one.output should be all the possible values in decimal.","description":"a='001'\r\noutput =   [4,2]","description_html":"\u003cp\u003ea='001'\r\noutput =   [4,2]\u003c/p\u003e","function_template":"function y = rearr(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = '101';\r\ny_correct = [6];\r\nassert(isequal(rearr(x),y_correct))\r\n%%\r\nx = '0101';\r\ny_correct = [6 9 10 12];\r\nassert(isequal(rearr(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-10-20T18:48:30.000Z","updated_at":"2019-10-20T19:23:03.000Z","published_at":"2019-10-20T19:23:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea='001' output = [4,2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":138,"title":"Number of 1s in the Binary Representation of a Number","description":"*Description*\r\n\r\nReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\r\n\r\n*Example*\r\n\r\n   in = 215\r\n   out = 6 ","description_html":"\u003cp\u003e\u003cb\u003eDescription\u003c/b\u003e\u003c/p\u003e\u003cp\u003eReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample\u003c/b\u003e\u003c/p\u003e\u003cpre\u003e   in = 215\r\n   out = 6 \u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 215;\r\ny_correct = 6;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1:100;\r\ny_correct = [1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 2 3 3 4 3 4 4 5 3 4 4 5 4 5 5 6 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5 2 3 3 4 3 4 4 5 3 4 4 5 4 5 5 6 2 3 3 4 3];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = magic(10);\r\ny_correct = [ 4  4  1  1  4  3  3  4  4  2\r\n              3  2  3  3  1  3  5  4  1  3\r\n              1  3  3  2  3  4  3  6  3  5\r\n              4  5  3  3  2  4  5  3  4  3\r\n              4  5  3  1  2  5  2  4  3  2\r\n              2  2  3  4  4  3  3  3  2  2\r\n              4  2  3  4  5  2  4  1  4  2\r\n              5  2  3  6  3  4  5  3  4  2\r\n              2  2  5  2  4  3  3  3  4  4\r\n              3  2  3  4  3  2  4  3  4  5 ];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":481,"test_suite_updated_at":"2012-01-28T08:41:00.000Z","rescore_all_solutions":false,"group_id":38,"created_at":"2012-01-28T08:41:00.000Z","updated_at":"2026-03-31T17:35:59.000Z","published_at":"2012-01-28T08:41:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn the number of 1s in the (unsigned integer) binary representation of a number. This function should be able to provide vectorized input and return an output with the same dimensions as the input.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[   in = 215\\n   out = 6]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1547,"title":"Relative ratio of \"1\" in binary number","description":"Input(n) is positive integer number\r\n\r\nOutput(r) is (number of \"1\" in binary input) / (number of bits).\r\n\r\nExample:\r\n\r\n* n=0; r=0\r\n* n=1; r=1\r\n* n=2; r=0.5\r\n","description_html":"\u003cp\u003eInput(n) is positive integer number\u003c/p\u003e\u003cp\u003eOutput(r) is (number of \"1\" in binary input) / (number of bits).\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cul\u003e\u003cli\u003en=0; r=0\u003c/li\u003e\u003cli\u003en=1; r=1\u003c/li\u003e\u003cli\u003en=2; r=0.5\u003c/li\u003e\u003c/ul\u003e","function_template":"function r = ones_ratio(n)\r\n  r = n;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct = 0.5;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = 1;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 128;\r\ny_correct = 0.125;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 1265476542;\r\ny_correct = 19/31;\r\nassert(isequal(ones_ratio(x),y_correct))\r\n%%\r\nx = 98917653181;\r\ny_correct = 23/37;\r\nassert(isequal(ones_ratio(x),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1601,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-04T23:29:28.000Z","updated_at":"2026-04-07T19:27:13.000Z","published_at":"2013-06-04T23:29:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput(n) is positive integer number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput(r) is (number of \\\"1\\\" in binary input) / (number of bits).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=0; r=0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=1; r=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=2; r=0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":511,"title":"Converting Decimal to Binary","description":"Given a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\r\n\r\nAs with \u003chttp://www.mathworks.com/help/techdoc/ref/dec2bin.html dec2bin\u003e, return your result in a string.\r\n\r\nExamples:\r\n\r\n Input  d = 2.5\r\n Output b is '10.1'\r\n\r\n Input  d = 34.125\r\n Output b is '100010.001'\r\n \r\n","description_html":"\u003cp\u003eGiven a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\u003c/p\u003e\u003cp\u003eAs with \u003ca href=\"http://www.mathworks.com/help/techdoc/ref/dec2bin.html\"\u003edec2bin\u003c/a\u003e, return your result in a string.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  d = 2.5\r\n Output b is '10.1'\u003c/pre\u003e\u003cpre\u003e Input  d = 34.125\r\n Output b is '100010.001'\u003c/pre\u003e","function_template":"function b = dec2bin_fractions(d)\r\n  b = 0;\r\nend","test_suite":"%%\r\nd = 1;\r\nb = '1';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 2.5;\r\nb = '10.1';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 34.125; \r\nb = '100010.001';\r\nassert(isequal(dec2bin_fractions(d),b))\r\n\r\n%%\r\nd = 452.8125;\r\nb = '111000100.1101';\r\nassert(isequal(dec2bin_fractions(d),b))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":2591,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":76,"test_suite_updated_at":"2012-03-20T18:00:02.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-20T14:21:56.000Z","updated_at":"2026-04-03T03:07:57.000Z","published_at":"2012-03-21T21:01:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a decimal number that may include a fractional component, convert it into binary representation. The numbers you are given will always be cleanly representable using positive and negative powers of 2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs with\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/help/techdoc/ref/dec2bin.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003edec2bin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, return your result in a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  d = 2.5\\n Output b is '10.1'\\n\\n Input  d = 34.125\\n Output b is '100010.001']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":832,"title":"Convert single-precision floating-point number to binary representation","description":"Write a function which takes a scalar \u003chttp://en.wikipedia.org/wiki/Single-precision_floating-point_format single-precision floating-point number\u003e as input and returns its binary representation as a string of zeros and ones.\r\n\r\n\r\n*Example 1*\r\n\r\nx = single( *1.25* );\r\n\r\ny = *'00111111101000000000000000000000'*\r\n\r\n\r\n*Example 2*\r\n\r\nx = realmax('single'); % = *3.4028235e+038*\r\n\r\ny = *'01111111011111111111111111111111'*","description_html":"\u003cp\u003eWrite a function which takes a scalar \u003ca href=\"http://en.wikipedia.org/wiki/Single-precision_floating-point_format\"\u003esingle-precision floating-point number\u003c/a\u003e as input and returns its binary representation as a string of zeros and ones.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample 1\u003c/b\u003e\u003c/p\u003e\u003cp\u003ex = single( \u003cb\u003e1.25\u003c/b\u003e );\u003c/p\u003e\u003cp\u003ey = \u003cb\u003e'00111111101000000000000000000000'\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample 2\u003c/b\u003e\u003c/p\u003e\u003cp\u003ex = realmax('single'); % = \u003cb\u003e3.4028235e+038\u003c/b\u003e\u003c/p\u003e\u003cp\u003ey = \u003cb\u003e'01111111011111111111111111111111'\u003c/b\u003e\u003c/p\u003e","function_template":"function y = single2bin(x)\r\n  y = '';\r\nend","test_suite":"%%\r\nx = single(1.25);\r\ny_correct = '00111111101000000000000000000000';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = realmax('single');\r\ny_correct = '01111111011111111111111111111111';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = realmin('single');\r\ny_correct = '00000000100000000000000000000000';\r\nassert(isequal(single2bin(x),y_correct))\r\n\r\n%%\r\nx = single(-1.625e21);\r\ny_correct = '11100010101100000010111011001111';\r\nassert(isequal(single2bin(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":4823,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-14T12:27:07.000Z","updated_at":"2025-07-09T08:38:30.000Z","published_at":"2012-07-14T12:28:04.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function which takes a scalar\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Single-precision_floating-point_format\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esingle-precision floating-point number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e as input and returns its binary representation as a string of zeros and ones.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = single(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1.25\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e );\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ey =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'00111111101000000000000000000000'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = realmax('single'); % =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3.4028235e+038\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ey =\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'01111111011111111111111111111111'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2891,"title":"Binary code (array)","description":"Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\r\n\r\nExample:\r\n\r\n Input  n = 123\r\n Output y =[1,1,1,1,0,1,1]\r\n\r\n","description_html":"\u003cp\u003eWrite a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e Input  n = 123\r\n Output y =[1,1,1,1,0,1,1]\u003c/pre\u003e","function_template":"function y = dectobin(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2015;\r\ny_correct=[1,1,1,1,1,0,1,1,1,1,1];\r\nassert(isequal(dectobin(x),y_correct))\r\n%%\r\nx = 13;\r\ny_correct=[1,1,0,1];\r\nassert(isequal(dectobin(x),y_correct))\r\n%%\r\nx = 143;\r\ny_correct=[1,0,0,0,1,1,1,1];\r\nassert(isequal(dectobin(x),y_correct))","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":33976,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1548,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-01-28T15:49:50.000Z","updated_at":"2026-04-07T19:28:32.000Z","published_at":"2015-01-28T15:54:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function which calculates the binary code of a number 'n' and gives the result as an array(vector).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  n = 123\\n Output y =[1,1,1,1,0,1,1]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49835,"title":"Decimal to Binary conversion for Large Integers","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 436.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 218.45px; transform-origin: 407px 218.45px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDecimal integer, a base-10 number we normally use without fractional component, can be represented as \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Binary_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebinary\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, a base-2 number composed either 0 or 1. The procedure to convert a decimal integer X to its binary equivalent is as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 60px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30px; transform-origin: 391px 30px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDivide X by 2. The remainder (either 0 or 1) is the first binary value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDivide the quotient of previous step by 2. The remainder is the next binary value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRepeat the process until the quotient cannot be divided anymore and so last binary is found.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 22.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.05px; text-align: left; transform-origin: 384px 11.05px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAs example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"141.5\" height=\"19.5\" style=\"width: 141.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e through process below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 223.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 111.8px; text-align: left; transform-origin: 384px 111.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"60\" height=\"218\" style=\"vertical-align: baseline;width: 60px;height: 218px\" src=\"https://upload.wikimedia.org/wikipedia/commons/d/d0/Decimal_to_Binary_Conversion.gif\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a decimal string input x, build a function dectobin(x) that returns its binary equivalent in character array. Unlike built-in dec2bin function, your function should also work for large integers up to thousands number of digits.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dectobin(x)\r\n  y = x;\r\nend","test_suite":"clear\r\n%%\r\nbannedWords = {'regexp','regexpi','import','java'};\r\nassessFunctionAbsence(bannedWords,'Filename','dectobin.m')\r\n\r\n%%\r\nx = '0';\r\ny_correct = x;\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '1';\r\ny_correct = x;\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '13';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '1234';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = '123456789';\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\nx = num2str(randi([1e6 1e9])); % 7-10 digits\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n \r\n%%\r\nx = num2str(int64(randi([1e14 1e15]))); % 15-16 digits\r\ny_correct = dec2bin(str2num(x));\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\n% 100 digits\r\nx = '9935889422099775700620749019825066687005320193436482650621467845674334663581207733950858713953594810';\r\ny_correct = '100100010101110101001011011110111011001010010010000001101010001111010001111000110111110100011000000010001001010111101101111101000101110000110110100100001101001010010001010000010011111111010100111111100110010011111001110111001111011111000010011101111100000000100000001011011000001010111001110001010101001101110011111011110110110111010';\r\nassert(isequal(dectobin(x),y_correct))\r\n\r\n%%\r\n% 1,000 digits\r\nx = '3059201154261253530451690354977606310924322607284223918856338124374709270871880662494169428937121052075859797206813475095556104269276596500978875324047465920883111580522711413182514848655486194576723389296141674672149809829265420167820519225209898307641365760914568721866463844355172261421834003336488535238809007328873935253700111210006241805977393874531741494641320187019834745948717074377488851592337628009671305943507313220241345532153678625541382153876303729081245594666363375641541440039672508266173273547591929050186861649876277730738299377510850280883881669370053397327830542446255453962902873897458955875563317360197974644289445704776742967853660702740237720951325610419441880361333911947025395121778148262639261460523590232675016389707381618111484504793129877986986813532838182033892534760974140550358778239119177192242757139854881677013489678325929427533280319023842380171528893573940130880205407716783800858180602225696643483888830206964236483084265907918866516345819848257322544972900223';\r\ny_correct = '100101010000010000001101010010100110001010110110111010110011000100110001100101100011010101101110000011101111100011011101110100000001001001011110000111111011111011111000010010000010011011110011111010101100001111001111111100010001100110011101011011100101001001011100111000011000111100110110110100001000110101011010001110110111010010001111111101100110111110110100101010000110100010110101110011100111100011100000101001001011110010010000110011001011111101100001001110010001111011011100001101100111000011001000101100000110011101000010001011110101110111010001110111011111000010100000010010000001001010001010110101010111100101100111010110011101001000111001001101100110010111011001010011010100011100010100111010110111011111111101010111011000000010111010110100001010001000110010011011000110111011110011101010100101101100000101010000101001000000000010010110000110100111111000111110001011001111110010001011011100011110011001110001101110010010101100101110100110100101000110001010110011000010011110101111110100010100011001101010101101110100001010000100001011010110110000111011001000001101111110011111000100001100000011101010011011000010111110100111100111010101001001001111001011000100001110101110001001110110010010101001000111001010100101110000110111001110001110111100110110101011010000001110110011010011011101100100000101111100001010010100000000001111101001011111110001100001001110101101111101101110111100001000001111101111111100100010111000011111001110011101001001110111001001111011000110000101100101000101100001001101000110000011010001111001110000100001011110111011011111111110000000011110101111101001100101010101111111011010001100100100001110000010110110100101100111111100100011101000111010100001001111110010101101100101010101011100000101101001110000010001011010110101100000011010100111010001111100100001001101000010011100110000010111111010000110010100000110101010000000001010000011011011101001010111010100111100011100011101101111010010110111001000111001001010000111100001110111110110000000001100011100010111110100010000110111110111110000001010000011010001001000011100011011010110010000010101011100100010110101000111110111101111110101011001101001000011110010101011000000000010110010000110010011100101000101101001111011010010101100110011011110101111111001010000100011111000100000010000101110100110100000111111011111011111011010110100000100100010011001010111101110010011011001010000111011111011100101111000100000100101010110000110000000001000100110100000111101111000011111110010101011101101100110111001011110101110000010000101110010100101000101111100110011111111111001001011101010111001001100110010101011101000101011110100100001111001111101110101100011110100001010110101110100011110001101001101011010110011101101011111101001010010110101001011001011001101110010100001001100101110001101100110010010010011111010011111110110000100010101011101001110000010010010110001100011100100011010011011010111010110100110011101000000101010101100110101000111111010000110011010000001111001111101000010111010111101100100111100001010001010110010100001010010010110110100101000001001101010101101100111011111101000110100000100110111010100111101011100111001111110001101111001111010101111111100101000111010101101011110010010001110001111111011000001001001000101010001000111101001011011001010010011011001010110110000011000001100110010011111011110010011101111111';\r\nassert(isequal(dectobin(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":392030,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-01-17T04:22:14.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-16T07:49:57.000Z","updated_at":"2025-11-19T01:41:17.000Z","published_at":"2021-01-16T08:14:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDecimal integer, a base-10 number we normally use without fractional component, can be represented as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Binary_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebinary\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, a base-2 number composed either 0 or 1. The procedure to convert a decimal integer X to its binary equivalent is as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide X by 2. The remainder (either 0 or 1) is the first binary value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide the quotient of previous step by 2. The remainder is the next binary value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRepeat the process until the quotient cannot be divided anymore and so last binary is found.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e357_{10} \\\\equiv 10010101101_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through process below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"218\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"60\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a decimal string input x, build a function dectobin(x) that returns its binary equivalent in character array. Unlike built-in dec2bin function, your function should also work for large integers up to thousands number of digits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"https://upload.wikimedia.org/wikipedia/commons/d/d0/Decimal_to_Binary_Conversion.gif\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":568,"title":"Number of 1s in a binary string","description":"Find the number of 1s in the given binary string.\r\nExample. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0","description_html":"\u003cp\u003eFind the number of 1s in the given binary string.\r\nExample. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0\u003c/p\u003e","function_template":"function y = one(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = '0000';\r\ny_correct = 0;\r\nassert(isequal(one(x),y_correct));\r\n\r\n%%\r\nx = '111';\r\ny_correct = 3;\r\nassert(isequal(one(x),y_correct));\r\n\r\n%%\r\nx = '1100101';\r\ny_correct = 4;\r\nassert(isequal(one(x),y_correct));\r\n","published":true,"deleted":false,"likes_count":63,"comments_count":4,"created_by":2974,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11066,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":14,"created_at":"2012-04-10T19:15:07.000Z","updated_at":"2026-04-08T00:09:12.000Z","published_at":"2012-04-10T19:15:11.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input string is '0000', the output is 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2678,"title":"Find out sum and carry of Binary adder","description":"Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. \r\n\r\nExamples\r\n\r\nPrevious carry is 1 and  x=y=1. Addition is 1 and carry is also 1. \r\n\r\nPrevious carry is 0 and  x=y=1. Addition is 0 and carry is also 1. \r\n\r\nPrevious carry is 0 and  x=1, y=0. Addition is 1 and carry is also 0. ","description_html":"\u003cp\u003eFind out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition.\u003c/p\u003e\u003cp\u003eExamples\u003c/p\u003e\u003cp\u003ePrevious carry is 1 and  x=y=1. Addition is 1 and carry is also 1.\u003c/p\u003e\u003cp\u003ePrevious carry is 0 and  x=y=1. Addition is 0 and carry is also 1.\u003c/p\u003e\u003cp\u003ePrevious carry is 0 and  x=1, y=0. Addition is 1 and carry is also 0.\u003c/p\u003e","function_template":"function [sum, carry] = bin_sum_carry(pc,x,y)\r\n  \r\nend","test_suite":"%%\r\nx = 1;\r\ny=1;\r\npc=1;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,1))\r\nassert(isequal(carry,1))\r\n%%\r\nx = 1;\r\ny=1;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,1))\r\n%%\r\nx = 1;\r\ny=0;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,1))\r\nassert(isequal(carry,0))\r\n%%\r\nx = 0;\r\ny=0;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,0))\r\n%%\r\nx = 1;\r\ny=1;\r\npc=0;\r\n[sum, carry]=bin_sum_carry(pc,x,y)\r\nassert(isequal(sum,0))\r\nassert(isequal(carry,1))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":3,"created_by":27760,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1706,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-11-18T04:58:05.000Z","updated_at":"2026-04-07T19:20:19.000Z","published_at":"2014-11-18T04:58:05.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 1 and x=y=1. Addition is 1 and carry is also 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 0 and x=y=1. Addition is 0 and carry is also 1.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePrevious carry is 0 and x=1, y=0. Addition is 1 and carry is also 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":108,"title":"Given an unsigned integer x, find the largest y by rearranging the bits in x","description":"Given an unsigned integer x, find the largest y by rearranging the bits in x.\r\nExample:\r\n Input  x = 10\r\n Output y is 12\r\nsince 10 in binary is 1010 and 12 in binary is 1100.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 128px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 64px; transform-origin: 468.5px 64px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 228.717px 8px; transform-origin: 228.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an unsigned integer x, find the largest y by rearranging the bits in x.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 8px; transform-origin: 29.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 36px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 464.5px 18px; transform-origin: 464.5px 18px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 23.1px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 23.1px 8.5px; \"\u003ex = 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 26.95px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 26.95px 8.5px; \"\u003ey is 12\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 156.65px 8px; transform-origin: 156.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 10 in binary is 1010 and 12 in binary is 1100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = maxit(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('maxit.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp');\r\nassert(~illegal)\r\n\r\n%%\r\nx = 76;\r\ny_correct = 112;\r\nassert(isequal(maxit(x),y_correct))\r\n%%\r\nx = 555;\r\ny_correct = 992;\r\nassert(isequal(maxit(x),y_correct))\r\n\r\n%%\r\nx = 1000;\r\ny_correct = 1008;\r\nassert(isequal(maxit(x),y_correct))\r\n\r\n%%\r\nx = 10000000;\r\ny_correct = 16711680;\r\nassert(isequal(maxit(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":19,"comments_count":2,"created_by":166,"edited_by":223089,"edited_at":"2026-03-22T08:14:38.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1992,"test_suite_updated_at":"2026-03-22T08:14:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-01-26T08:18:49.000Z","updated_at":"2026-04-07T19:23:43.000Z","published_at":"2012-02-03T03:51:13.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an unsigned integer x, find the largest y by rearranging the bits in x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  x = 10\\n Output y is 12]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 10 in binary is 1010 and 12 in binary is 1100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1546,"title":"Create matrix with Gray code","description":"Output \"g\" should be a matrix of class double, with \u003chttp://en.wikipedia.org/wiki/Gray_code Gray reflected binary code\u003e.\r\n\r\nInput \"n\" is number of bits.\r\n\r\nExamples:\r\n\r\n n = 0,\r\n g = Empty matrix: 1-by-0\r\n\r\n n = 1,\r\n g = [0;1]\r\n\r\n n = 2,\r\n g = [0 0;0 1;1 1;1 0]\r\n","description_html":"\u003cp\u003eOutput \"g\" should be a matrix of class double, with \u003ca href = \"http://en.wikipedia.org/wiki/Gray_code\"\u003eGray reflected binary code\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eInput \"n\" is number of bits.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e n = 0,\r\n g = Empty matrix: 1-by-0\u003c/pre\u003e\u003cpre\u003e n = 1,\r\n g = [0;1]\u003c/pre\u003e\u003cpre\u003e n = 2,\r\n g = [0 0;0 1;1 1;1 0]\u003c/pre\u003e","function_template":"function g = gray_code(n)\r\n  g = n;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 1;\r\ny_correct(1) = [];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 1;\r\ny_correct = [0;1];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 2;\r\ny_correct = [0 0;0 1;1 1;1 0];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))\r\n%%\r\nx = 5;\r\ny_correct = [0 0 0 0 0;0 0 0 0 1;0 0 0 1 1;0 0 0 1 0;0 0 1 1 0;0 0 1 1 1\r\n0 0 1 0 1;0 0 1 0 0;0 1 1 0 0;0 1 1 0 1;0 1 1 1 1;0 1 1 1 0;0 1 0 1 0\r\n0 1 0 1 1;0 1 0 0 1;0 1 0 0 0;1 1 0 0 0;1 1 0 0 1;1 1 0 1 1;1 1 0 1 0\r\n1 1 1 1 0;1 1 1 1 1;1 1 1 0 1;1 1 1 0 0;1 0 1 0 0;1 0 1 0 1;1 0 1 1 1\r\n1 0 1 1 0;1 0 0 1 0;1 0 0 1 1;1 0 0 0 1;1 0 0 0 0];\r\nassert(isequal(gray_code(x),y_correct)\u0026isequal(class(gray_code(x)),'double'))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2013-06-03T13:08:25.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-03T10:06:10.000Z","updated_at":"2026-01-24T15:32:59.000Z","published_at":"2013-06-03T13:08:25.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput \\\"g\\\" should be a matrix of class double, with\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Gray_code\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGray reflected binary code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput \\\"n\\\" is number of bits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ n = 0,\\n g = Empty matrix: 1-by-0\\n\\n n = 1,\\n g = [0;1]\\n\\n n = 2,\\n g = [0 0;0 1;1 1;1 0]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2046,"title":"Convert binary numbers to hexadecimal numbers","description":"Function must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\r\n\r\n*Example*:\r\n[1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'","description_html":"\u003cp\u003eFunction must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample\u003c/b\u003e:\r\n[1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'\u003c/p\u003e","function_template":"function y = bin2hex(x)\r\n  y = 'AB CD';\r\nend","test_suite":"%%\r\nx = [1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] ;\r\ny_correct = 'F0 E1';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = ones(1,80);\r\ny_correct = 'FF FF FF FF FF FF FF FF FF FF';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = zeros(1,8);\r\ny_correct = '00';\r\nassert(isequal(bin2hex(x),y_correct));\r\n\r\n%%\r\nx = '1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0';\r\ny_correct = '9E 6B E2 9A';\r\nassert(isequal(bin2hex(x),y_correct));","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":19725,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-12-13T15:48:33.000Z","updated_at":"2026-01-06T20:29:31.000Z","published_at":"2013-12-13T15:51:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFunction must convert the input vector x composed of 0 and 1 (length is a multiple of 8) in hexadecimal. Most significant bit is first. each pair of hexadecimal symbols must be separated by space.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: [1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1] will return 'F0 E1'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":59126,"title":"Compute the bubble popper fidget spinner sequence","description":"A fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and some evidence appears to support these claims.  \r\nIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \r\nGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \r\nWrite a function to compute the first  terms of the sequence for an -lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 626.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 313.35px; transform-origin: 407px 313.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.2px 8px; transform-origin: 367.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120292/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esome evidence\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.017px 8px; transform-origin: 105.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears to support these claims. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365.625px 8px; transform-origin: 365.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.525px 8px; transform-origin: 383.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.875px 8px; transform-origin: 111.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the first \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.95px 8px; transform-origin: 92.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e terms of the sequence for an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.433px 8px; transform-origin: 147.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 296.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 148.35px; text-align: left; transform-origin: 384px 148.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"305\" height=\"291\" style=\"vertical-align: baseline;width: 305px;height: 291px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bubblePopperFidgetSpinner(m,n)\r\n  y = mod(cumsum(primes(n)),m);\r\nend","test_suite":"%%\r\nm = 5;\r\nn = 20;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 4 5 1 9 11 3 7 6 22 23 19 27 25 17 19 18 16 24];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 50;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 37 45 37 36 100 96 97 101 109 45 47 46 44 108 100 36 52 54 50 18 19 83 67 75 11 27 91 83 67 99 107 106 42 40 8 10 2 6 7 23 31 63 59 51 115 114 50 54];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 13;\r\nn = 100;\r\ny = bubblePopperFidgetSpinner(m,n);\r\ny_correct = [1 5 37 1061 1077 1073 1077 1141 5237 5749 1653 1637 1633 1649 1905 1913 1897 3945 4073 3561 3565 2541 493 485 487 359 375 383 319 2367 2495 2479 2447 6543 6287 6285 6797 7821 7837 7833 7897 7889 7893 5845 5333 7381 7377 7409 7281 7280 7536 7664 3568 3504 2480 2352 3376 3440 3424 3168 3176 3177 3305 3309 3311 3307 3179 3178 7274 7530 7466 7210 7202 7266 7270 7286 6262 6774 6782 6780 6908 7932 7928 7912 8168 8136 8072 8073 8077 7821 7813 7809 7808 7872 7880 8136 8152 8088 7960 6936];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 200;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 5;\r\nmaxlen_correct = [11 11];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==7),sum(y==19)],maxlen_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 500;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 75;\r\nmaxlen_correct = [10 10];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==2),sum(y==106)],maxlen_correct))\r\n\r\n%%\r\nm = 13;\r\nn = 1000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nyn_correct = 5838;\r\nmaxlen_correct = [3 3];\r\nassert(isequal(y(n),yn_correct))\r\nassert(isequal([sum(y==7960),sum(y==8136)],maxlen_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 2000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = 0.315;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 7;\r\nn = 5000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = -0.6098;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 13;\r\nn = 10000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nd_correct = -21.9005999999;\r\nassert(abs(d-d_correct)\u003c1e-8)\r\n\r\n%%\r\nm = 5;\r\nn = 20000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nsd_correct = 25;\r\nassert(isequal(setdiff(0:2^m-1,unique(y(end-102:end))),sd_correct))\r\n\r\n%%\r\nm = 7;\r\nn = 50000;\r\ny = bubblePopperFidgetSpinner(m,n);\r\nd = mean(y)-(2^m-1)/2;\r\nsd_correct = 62;\r\nassert(isequal(setdiff(0:2^m-1,unique(y(end-1320:end))),sd_correct))\r\n\r\n%%\r\nfiletext = fileread('bubblePopperFidgetSpinner.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-30T03:10:38.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-29T23:59:40.000Z","updated_at":"2024-12-06T20:30:20.000Z","published_at":"2023-10-29T23:59:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA fidget spinner is a toy made of multiple lobes that pivot on a ball bearing. In some, the lobes hold bubble poppers, or rubber membranes that can be pushed and inverted. Descriptions of such toys say they help the fidgeter concentrate in meetings, classes, and other situations, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120292/\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esome evidence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e appears to support these claims. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn any case, while fidgeting with a bubble popper fidget spinner (BPFS) with five lobes, I thought of using it to create a sequence in this way: Push all of the poppers in. Then number each popper (say blue = 1, green = 2, orange = 3, pink = 4, and yellow = 5). Start by pushing popper 1 out. Then if the “in” position is called 0 and the “out” position is called 1, the poppers on the BPFS give the binary number 00001, or 1 in decimal. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGet the next numbers in the sequence by adding the next prime number to the position of the popper just touched, counting around the BPFS, inverting the popper, and converting the binary number represented by the poppers to decimal. So, for the next number, add the next prime (2) to the current position (1) to get 3, invert popper 3 (0 to 1), and convert 00101 to 5. The next number is 4 because you would add the next prime (3) to the current position (3) to get 6, count around the 5-lobed spinner to position 1, invert the popper from out to in (i.e., 1 to 0), and convert 00100 to 4. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the first \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e terms of the sequence for an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-lobed bubble popper fidget spinner. Start each sequence with all poppers except the first in the zero position. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"291\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"305\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52689,"title":"Easy Sequences 18: Set Bits of Triple Summations","description":"The function S(n) is defined by the following triple summations:\r\n                            \r\nThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. Write the function 'bitS(n)', which is the number of bits set in the binary representation of S(n).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 127px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function S(n) is defined by the following triple summations:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg 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\" width=\"186\" height=\"46\" style=\"width: 186px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite the function 'bitS(n)', which is the number of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.quora.com/What-do-we-mean-by-a-set-bit\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebits set\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e in the binary representation of S(n).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bitS(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\ny_correct = 7;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 10000;\r\ny_correct = 17;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 1000000;\r\ny_correct = 19;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 100000000;\r\ny_correct = 25;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 12345678910;\r\ny_correct = 30;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nns = 1000:2000;\r\ny = sum(arrayfun(@(n) bitS(n),ns))\r\ny_correct = 10663;\r\nassert(isequal(y,y_correct))\r\n%%\r\nn = intmax-123;\r\ny_correct = 33;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = intmax('int64')-123456;\r\ny_correct = 74;\r\nassert(isequal(bitS(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-12T09:14:05.000Z","updated_at":"2025-12-22T16:36:34.000Z","published_at":"2021-09-12T10:34:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function S(n) is defined by the following triple summations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS(n)=\\\\left [\\\\sum_{k=2}^{n}\\\\sum_{j=2}^{k} \\\\sum_{i=2}^{j}\\\\frac{1}{\\\\log {_{i}}{\\\\left ( j! \\\\right )}}  \\\\right ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite the function 'bitS(n)', which is the number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.quora.com/What-do-we-mean-by-a-set-bit\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebits set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e in the binary representation of S(n).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53910,"title":"List the dopey numbers","description":"If vile numbers have binary representations that end with an even number of zeros (even  vile), then numbers with binary representations that end with an odd number of zeros are dopey (odd  dopey). \r\nWrite a function to determine the th dopey number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 72px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 36px; transform-origin: 407.5px 36px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21px; text-align: left; transform-origin: 384.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 7.66667px; transform-origin: 5.825px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/53880\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003evile numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 213.55px 7.66667px; transform-origin: 213.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e have binary representations that end with an even number of zeros (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 7.66667px; transform-origin: 7.78333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eev\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.725px 7.66667px; transform-origin: 9.725px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003een \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e→\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 7.66667px; transform-origin: 3.89167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ev\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.11667px 7.66667px; transform-origin: 3.11667px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eil\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 7.66667px; transform-origin: 3.89167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 7.66667px; transform-origin: 86.35px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), then numbers with binary representations that end with an odd number of zeros are dopey (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.55px 7.66667px; transform-origin: 8.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eod\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 7.66667px; transform-origin: 5.83333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ed \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e→\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.55px 7.66667px; transform-origin: 8.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003edo\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.66667px; transform-origin: 17.5px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003epey). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.942px 7.66667px; transform-origin: 102.942px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.66667px; transform-origin: 56.0083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth dopey number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dopey(n)\r\n  y = 3*n;\r\nend","test_suite":"%%\r\nn = [2 8];\r\ny_correct = [6 24];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [3 5];\r\ny_correct = [8 14];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 80;\r\ny_correct = 238;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 519;\r\ny_correct = 1558;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [830 834 837];\r\ny_correct = [2488 2502 2510];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = [3082 3089 3097];\r\ny_correct = [9246 9266 9290];\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 7310;\r\ny_correct = 21930;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 9999;\r\ny_correct = 29998;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 8675309;\r\ny_correct = 26025928;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nn = 20000000;\r\ny_correct = 59999998;\r\nassert(isequal(dopey(n),y_correct))\r\n\r\n%%\r\nfiletext = fileread('dopey.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-18T00:10:33.000Z","updated_at":"2026-01-15T13:49:44.000Z","published_at":"2022-01-18T00:14:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/53880\\\"\u003e\u003cw:r\u003e\u003cw:t\u003evile numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e have binary representations that end with an even number of zeros (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eev\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003een \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"--\u0026gt;\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rightarrow\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eil\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e), then numbers with binary representations that end with an odd number of zeros are dopey (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eod\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ed \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"--\u0026gt;\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rightarrow\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003edo\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003epey). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth dopey number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44337,"title":"Sums of Distinct Powers","description":"You will be given three numbers: base, nstart, and nend.  Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base.  Your sequence should start with the 'nstart'th term and end with the 'nend'th term.  For example:\r\n\r\n* base=4\r\n* nstart=2\r\n* nend=6\r\n\r\nThe first several sums of the distinct powers of 4 are:\r\n\r\n* 1 (4^0)\r\n* 4 (4^1)\r\n* 5 (4^1 + 4^0)\r\n* 16 (4^2)\r\n* 17 (4^2 + 4^0)\r\n* 20 (4^2 + 4^1)\r\n* 21 (4^2 + 4^1 + 4^0)\r\n* 64 (4^3)\r\n* 65 (4^3 + 4^0)\r\n\r\nSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence.  The correct output would be 4+5+16+17+20, or 62.  Notice that the number 8 does not occur in this pattern.  While 8 is a multiple of 4, 8=4^1+4^1.  Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of *distinct* powers of 4.  You can assume that all three will be integers, base\u003e1, and that nstart\u003cnend.  Good luck!","description_html":"\u003cp\u003eYou will be given three numbers: base, nstart, and nend.  Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base.  Your sequence should start with the 'nstart'th term and end with the 'nend'th term.  For example:\u003c/p\u003e\u003cul\u003e\u003cli\u003ebase=4\u003c/li\u003e\u003cli\u003enstart=2\u003c/li\u003e\u003cli\u003enend=6\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThe first several sums of the distinct powers of 4 are:\u003c/p\u003e\u003cul\u003e\u003cli\u003e1 (4^0)\u003c/li\u003e\u003cli\u003e4 (4^1)\u003c/li\u003e\u003cli\u003e5 (4^1 + 4^0)\u003c/li\u003e\u003cli\u003e16 (4^2)\u003c/li\u003e\u003cli\u003e17 (4^2 + 4^0)\u003c/li\u003e\u003cli\u003e20 (4^2 + 4^1)\u003c/li\u003e\u003cli\u003e21 (4^2 + 4^1 + 4^0)\u003c/li\u003e\u003cli\u003e64 (4^3)\u003c/li\u003e\u003cli\u003e65 (4^3 + 4^0)\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence.  The correct output would be 4+5+16+17+20, or 62.  Notice that the number 8 does not occur in this pattern.  While 8 is a multiple of 4, 8=4^1+4^1.  Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of \u003cb\u003edistinct\u003c/b\u003e powers of 4.  You can assume that all three will be integers, base\u0026gt;1, and that nstart\u0026lt;nend.  Good luck!\u003c/p\u003e","function_template":"function y = sum_distinct_powers(base,nstart,nend)\r\n  y = base*nstart*nend;\r\nend","test_suite":"%%\r\nbase=4;nstart=2;nend=6;y_correct=62;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=5;nstart=1;nend=1000;y_correct=1193853250;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=3;nstart=1;nend=1000;y_correct=14438162;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=3;nstart=100;nend=1000;y_correct=14397354;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=2;nstart=1;nend=2017;y_correct=2035153;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=7;nstart=1234;nend=2345;y_correct=843569026324;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nbase=7;nstart=1;nend=10;y_correct=1265;\r\nassert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))\r\n%%\r\nnstart=1;nend=50;\r\njunk=arrayfun(@(base) sum_distinct_powers(base,nstart,nend),2:10);\r\ny_correct=[1275 7120 26365 75000 178591 374560 714465 1266280 2116675];\r\nassert(isequal(junk,y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":9,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":156,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-09-18T16:30:15.000Z","updated_at":"2026-02-03T09:26:51.000Z","published_at":"2017-10-16T01:50:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both the distinct powers of base as well as sums of distinct powers of base. Your sequence should start with the 'nstart'th term and end with the 'nend'th term. For example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebase=4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enstart=2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enend=6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first several sums of the distinct powers of 4 are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1 (4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 (4^1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e5 (4^1 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e16 (4^2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e17 (4^2 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e20 (4^2 + 4^1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e21 (4^2 + 4^1 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e64 (4^3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e65 (4^3 + 4^0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince nstart=2 and nend=6 in this example, you take the second through the sixth terms of this sequence. The correct output would be 4+5+16+17+20, or 62. Notice that the number 8 does not occur in this pattern. While 8 is a multiple of 4, 8=4^1+4^1. Because there are two 4^1 terms in the sum, 8 does not qualify as a sum of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003edistinct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e powers of 4. You can assume that all three will be integers, base\u0026gt;1, and that nstart\u0026lt;nend. Good luck!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":57492,"title":"Compute the Tetris sequence","description":"In the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \r\nThe discussion of this sequence involves odd gaps in the plot of the terms  (say) as a function of their position  in the sequence. A plot of  vs.  (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose using “facial recognition” to connect sequences.  \r\nWrite a function to compute the th term of the Tetris sequence.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 539.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 269.85px; transform-origin: 407px 269.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.833px 8px; transform-origin: 378.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 230.658px 8px; transform-origin: 230.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe discussion of this sequence involves odd gaps in the plot of the terms \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n)\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.458px 8px; transform-origin: 110.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (say) as a function of their position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the sequence. A plot of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n+1)\" style=\"width: 54px; height: 18.5px;\" width=\"54\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.825px 8px; transform-origin: 12.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e vs. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a(n)\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 237.267px 8px; transform-origin: 237.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://sites.math.rutgers.edu/~zeilberg/EM22/C27.pdf\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eusing “facial recognition”\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9px 8px; transform-origin: 73.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to connect sequences. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.6583px 8px; transform-origin: 98.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.1167px 8px; transform-origin: 94.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth term of the Tetris sequence.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 344.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 172.35px; text-align: left; transform-origin: 384px 172.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 346px;height: 339px\" 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\" data-image-state=\"image-loaded\" width=\"346\" height=\"339\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = tetris(n)\r\n  y = dec2bin(n);\r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = 8;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 15;\r\ny_correct = 32;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 51;\r\ny_correct = 29;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 155;\r\ny_correct = 167;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 515;\r\ny_correct = 480;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 1155;\r\ny_correct = 872;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 1511;\r\ny_correct = 3084;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 5151;\r\ny_correct = 9480;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nn = 15151;\r\ny_correct = 7095;\r\nassert(isequal(tetris(n),y_correct))\r\n\r\n%%\r\nassert(isequal(tetris(tetris(10020)),18284))\r\n\r\n%%\r\nfiletext = fileread('tetris.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis') || contains(filetext, 'persistent') ||  contains(filetext, 'switch'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-05T14:35:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-01-05T14:35:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-02T15:12:40.000Z","updated_at":"2026-02-05T10:56:07.000Z","published_at":"2023-01-02T15:22:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that has no common 1-bits with the previous term. The first five terms are 1, 2, 4, 3, and 8 because the binary expansions 0001, 0010, 0100, 0011, and 1000 have no common ones among consecutive terms, and they are the smallest numbers with that property not already in the sequence. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe discussion of this sequence involves odd gaps in the plot of the terms \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (say) as a function of their position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the sequence. A plot of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n+1)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n+1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e vs. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a(n)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (below) makes one think of the Sierpinski gasket. Neil J.A. Sloane uses this resemblance to propose \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://sites.math.rutgers.edu/~zeilberg/EM22/C27.pdf\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eusing “facial recognition”\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to connect sequences. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" 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binary numbers","description":"Write a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.508px 8.05px; transform-origin: 375.508px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = binmult(a,b)\r\n  y = dec2bin(bin2dec(a)*bin2dec(b));\r\nend","test_suite":"%%\r\na = '1011';\r\nb = '101';\r\ny_correct = '110111';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '1011';\r\nb = '101';\r\ny_correct = '110111';\r\nassert(isequal(binmult(b,a),y_correct))\r\n\r\n%%\r\na = '1010011101110011';\r\nb = '1111001001110011';\r\ny_correct = '10011110100101011110111010101001';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '101010101';\r\nb = '11011011';\r\ny_correct = '10010001110110111';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%% Tommy Tutone x Glenn Miller\r\na = '100001000101111111101101';\r\nb = '1111110111101000';\r\ny_correct = '1000001101001010110001000010011111001000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '100110011001000111010010010010011';\r\nb = '10101011010100101010000';\r\ny_correct = '1100110110001011111100000100111100101110111100011110000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '10111000101111001000101001001';\r\nb = '1000101010001101011001111011011';\r\ny_correct = '11000111111101110101101001110100010101101010101010001110011';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '111111111111111111111111000010';\r\nb = '1111111111111111111111110000011';\r\ny_correct = '1111111111111111111111100000111000000000000000001111001000110';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\na = '10110101111001100010000011110100011111111111111';\r\nb = '10000001010110011011000100001000111000111000';\r\ny_correct = '101101111101000101100010110011100010111000111111001001110111001111001011010111000111001000';\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\nr = randi(18)+100;\r\na = repmat('1010',1,r);\r\nb = '11';\r\ny_correct = [repelem('1',1,4*r) '0'];\r\nassert(isequal(binmult(a,b),y_correct))\r\n\r\n%%\r\nfiletext = fileread('binmult.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'java') || contains(filetext, 'py'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-16T03:55:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-15T05:06:50.000Z","updated_at":"2021-09-16T03:55:20.000Z","published_at":"2021-09-15T05:12:04.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110111’.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47073,"title":"Find the nth Fibbinary number","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 308.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.375px; transform-origin: 407px 154.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.117px 7.91667px; transform-origin: 255.117px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==\" alt=\"a_0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" alt=\"a_7\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.683px 7.91667px; transform-origin: 102.683px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(k)\" style=\"width: 32.5px; height: 19px;\" width=\"32.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.7167px 7.91667px; transform-origin: 37.7167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis that if the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf expansion\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"n = F(k_1) + F(k_2) + \\ldots + F(k_m)\" style=\"width: 199px; height: 20px;\" width=\"199\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6167px 7.91667px; transform-origin: 13.6167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13px; text-align: left; transform-origin: 384px 13px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a_n = 2^{k_1-2}+2^{k_2-2}+\\ldots+2^{k_m-2}\" style=\"width: 192px; height: 26px;\" width=\"192\" height=\"26\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 357.083px 7.91667px; transform-origin: 357.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 7.91667px; transform-origin: 42.7833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.975px 7.91667px; transform-origin: 148.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(3)+F(5)\" style=\"width: 79.5px; height: 19px;\" width=\"79.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.91667px; transform-origin: 17.5px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"10=2^{3-2}+2^{5-2} = 2+8\" style=\"width: 155px; height: 19.5px;\" width=\"155\" height=\"19.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.442px 7.91667px; transform-origin: 210.442px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.1px 7.91667px; transform-origin: 83.1px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 7.91667px; transform-origin: 65.7333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth Fibbinary number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Fibbinary(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 0;\r\ny_correct = 0;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = 5;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = 10;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77;\r\ny_correct = 321;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 777;\r\ny_correct = 9282;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 5000;\r\ny_correct = 140562;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7777;\r\ny_correct = 278597;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77777;\r\ny_correct = 8455236;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = 9704021;\r\nassert(isequal(Fibbinary(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-25T02:19:28.000Z","updated_at":"2020-10-27T04:39:32.000Z","published_at":"2020-10-25T03:48:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(k)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis that if the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf expansion\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(3)+F(5)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(3)+F(5)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"10=2^{3-2}+2^{5-2} = 2+8\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10=2^{3-2}+2^{5-2} = 2+8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth Fibbinary number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2869,"title":"There are 10 types of people in the world","description":"Those who know binary, and those who don't.\r\n\r\nThe number 2015 is a palindrome in binary (11111011111 to be exact)  Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome.  For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911.  You can assume all years are positive integers.\r\n\r\nGood luck!!kcul dooG","description_html":"\u003cp\u003eThose who know binary, and those who don't.\u003c/p\u003e\u003cp\u003eThe number 2015 is a palindrome in binary (11111011111 to be exact)  Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome.  For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911.  You can assume all years are positive integers.\u003c/p\u003e\u003cp\u003eGood luck!!kcul dooG\u003c/p\u003e","function_template":"function y = yearraey(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1881;y_correct = 30;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 2014;y_correct = 1;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 2015;y_correct = 0;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 606;y_correct = 27;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 6006;y_correct = 71;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nx = 60006;y_correct = 369;\r\nassert(isequal(yearraey(x),y_correct))\r\n%%\r\nk=zeros(1,15);\r\nfor n=1:15\r\n    y=2^n+2;\r\n    k(n)=yearraey(y);\r\nend\r\ny_correct=[1 1 5 3 11 7 23 15 47 31 95 63 191 127 383];\r\nassert(isequal(k,y_correct))","published":true,"deleted":false,"likes_count":32,"comments_count":4,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1289,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":45,"created_at":"2015-01-21T19:54:31.000Z","updated_at":"2026-04-07T02:28:16.000Z","published_at":"2015-01-21T19:54:31.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThose who know binary, and those who don't.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 2015 is a palindrome in binary (11111011111 to be exact) Given a year (in base 10 notation) calculate how many more years it will be until the next year that is a binary palindrome. For example, if you are given the year 1881 (palindrome in base 10! :-), the function should output 30, as the next year that is a binary palindrome is 1911. You can assume all years are positive integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGood luck!!kcul dooG\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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