Generate all possible permutations in julia

Question

What I am trying to do is generate all possible permutations of 1 and 0 given a particular sample size. For instance with a sample of n=8 I would like the m = 2^8 = 256 possible permutations, i.e:

I have been doing this in R, but it is very slow. Is there a quick way to do this in the Julia programming language?

Answer 1

These are just the numbers from 0 to 2^k-1, written in binary.

# Strings
k=8
[ bin(n,k) for n in 0:2^k-1 ]

# Arrays
[ [ bit == '1' ? 1 : 0 for bit in bin(n,k) ] for n in 0:2^k-1 ]