How to exhaust all the binary array of length N?

Hi everyone! I hope to do the following thing.

For an array of N components and each component can only take 1 or 0, I hope to exhaust all the possible assignment of the array.

Specifically I want to get a matrix with 2^N rows and N columns with each row corresponding to a possible case. How should I do this? Is there a MATLAB built-in function to do this?

Answer 1

[Walter Roberson]

N = 5;
desired_matrix = dec2bin(0:2^N-1) - '0'

desired_matrix = 32×5

0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1