Creating all possible combination of 0 and 1 in 2D array

Let the size of 2D matrix is m (n rows, m cols).

How can I create all possible combinations of 0 and 1 in this matrix?

Answer 1

[the cyclist]

% Example choice of m and n
n = 2;
m = 3;

allCombos = reshape((dec2bin(0:2^(n*m)-1)-'0')',n,m,[]);

allCombos is a 3-dimensional n*m*X array, where each slice in the 3rd dimension is one of the possible matrices.

Note that if m and n get large, you will quickly run out of memory. Combinatorics is a cruel mistress.

Answer 2

[the cyclist]

Did you mean you just want each possible unique row, rather than each possible unique matrix?

justRows = dec2bin(0:2^m-1)-'0'

where m is the number of columns.

If you mean something else, please give more info, because I can't think of any other interpretation of what you mean.

[Muhammad Naeem]

Hello @the cyclist,

Can I get each possible unique matrix there???

Thank You

[the cyclist]

Is the other answer I posted what you want? It gives each unique possible nxm matrix of 0's and 1's.

(I did a small fix in that code just now.)