MATLAB: How can I create a matrix of zeros and ones with dimension 2^n*n

Question

I want to build a matrix A of zeros and ones with dimension BxM.

Specifically, A contains all the possible dispositions of ones and zeros in M spaces considering also the order (hence, B=2^M).

for example when M=3

A=[1 1 1;

1 1 0;

1 0 1;

1 0 0;

0 1 1;

0 1 0;

0 0 1

0 0 0];

Answer 1

Try this:

Out = dec2bin(0:(2^M)-1)-'0'

produces:

Out =
     0     0     0
     0     0     1
     0     1     0
     0     1     1
     1     0     0
     1     0     1
     1     1     0
     1     1     1