Finding All Combinations of Elements in a Vector

I want to create all combinations of a 1x6 vector, composed only of 1's and 0's. Starting with all zeros and ending with all ones. If my math is correct there should be 64 combinations.

A = [0 0 0 0 0 0]

A = [1 0 0 0 0 0]

A = [0 1 0 0 0 0]

....

A = [1 1 1 1 1 1]

I plan to run this in a loop, with A being 1 of the 64 combinations in each iteration.

Answer 1

[James Tursa]

N = 6;
result = dec2bin((0:(2^N-1))') - '0';

Then the various vectors you want are the rows of result.

Or, if you really want to generate them in a loop, it would be something like

N = 6;
for k=0:(2^N-1)
    A = dec2bin(k) - '0';
    % use A here
end

[Chad]

Thank you. I ended up stumbling around dec2bin a few minutes ago and got the same answer you provided. I just generated a big matrix A and called the rows individually in the loop.