How to create all combinations of boolean vector possibilities?

Some background for the problem - I have 5 situations that can happen independently of the other situations. I want to create a matrix with rows that look like [1 0 0 0 0] , [1 1 0 0 0], etc. where the rows will be 2^5-1 since the vector [0 0 0 0 0] doesn't matter. The boolean logic 1 means that the situation has occured, 0 means the situation has not occured. Is there a way to easily create this matrix? Please let me know if any further clarification is needed. Thank you for the help!

Answer 1

[David Hill]

x=1:2^5-1;
m=logical(dec2bin(x',5)-'0');

[Steven Lord]

Instead of explicitly calling logical you could use the == operator.

x = 1:2^5-1;
m = dec2bin(x', 5) == '1'

m = 31×5 logical array
   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
   0   1   0   1   0