Create matrix indicating combinations of dummy variables

I have eight dummy variables (0-1 variables). I need to find all the possible combinations of these variables.

For example, v1-v8 are 0-1 variables and I want to the following result.

[0 0 0 0 0 0 0 0;

1 0 0 0 0 0 0 0;

0 1 0 0 0 0 0 0;

0 0 1 0 0 0 0 0;

0 0 0 1 0 0 0 0;

......

1 1 1 1 1 1 1 1]

Therefore, this matrix should be a 256*8 matrix.

I am very new to MATLAB and do not know how to generate matrix using loop. Thanks for help!

Answer 1

[James Tursa]

Variations of this technique are often used, but this can exceed your memory if n gets too large:

n = 8;
result = dec2bin(0:2^n-1) - '0'; % the - '0' turns the dec2bin result into a double