Finding All Combinations of Elements in a Vector

Question

Chad 2020-6-11

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https://ww2.mathworks.cn/matlabcentral/answers/546840-finding-all-combinations-of-elements-in-a-vector

评论： Chad 2020-6-11

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.

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Answer 1

James Tursa 2020-6-11

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https://ww2.mathworks.cn/matlabcentral/answers/546840-finding-all-combinations-of-elements-in-a-vector#answer_449880

编辑：James Tursa 2020-6-11

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

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Chad 2020-6-11

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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