Summing two binary vectors
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Neeraj Chimwal
le 24 Mar 2021
Commenté : Adam Danz
le 25 Mar 2021
How can I add two binary vector say a= 1 0 1, b= 1 1 0?
Using simply '+' gives decimal output. I want the summation in binary.
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Réponse acceptée
Fangjun Jiang
le 24 Mar 2021
Modifié(e) : Fangjun Jiang
le 24 Mar 2021
%%
a = [1 0 1];
b = [1 1 0];
s=dec2bin(bin2dec(num2str(a))+bin2dec(num2str(b)))
out=str2num(s(:))
out =
1
0
1
1
Plus de réponses (1)
Adam Danz
le 24 Mar 2021
Modifié(e) : Adam Danz
le 24 Mar 2021
y = sumbin(a,b) adds two binary values a and b represented by boolean row vectors (1/0, true/false) and returns the results y as a boolean row vector.
log2dec(v) is a helper function called by sumbin() and converts the boolean vectors to binary strings and then to the decimal representation.
Demo:
a = [1 0 1]; % = 5
b = [1 1 0]; % = 6
log2dec = @(v)bin2dec(num2str(v));
sumbin = @(a,b)dec2bin(sum([log2dec(a), log2dec(b)]))-'0';
sumbin(a,b) % = 11
If you want to add more than 2 binary numbers in the form of boolean vectors,
y = sumbin(a,b,...,n) receives any number of boolean row vectors (1/0, true/false) and returns the results y as a boolean row vector.
a = [1 0 1]; % = 5
b = [1 1 0]; % = 6
c = [1]; % = 1
d = [1 1 1]; % = 7
log2dec = @(v)bin2dec(num2str(v));
sumbin = @(varargin)dec2bin(sum(cellfun(log2dec, varargin)))-'0';
sumbin(a,b,c,d) % = 19
2 commentaires
Adam Danz
le 25 Mar 2021
@Neeraj Chimwal just FYI, the first part of my answer and Fangjun Jiang's answer are practically the same, there's very little difference.
The second part of my answer shows how to extend the summation to more than 2 binary vectors.
All vectors are arrays but not all arrays are vectors. A vector is 2D with one dimention equal to 1.
These are vectors
A = [1 0 1];
size(A)
B = [1;0;1];
size(B)
These are arrays that are not vectors
C = rand(2,3);
size(C)
D = rand(2,3,4);
size(D)
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