Finding All Combinations of Elements in a Vector

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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.

Accepted Answer

James Tursa
James Tursa on 11 Jun 2020
Edited: James Tursa on 11 Jun 2020
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
  1 Comment
Chad
Chad on 11 Jun 2020
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.

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