All combinations of 0's and 1's in 128 bit character array?

[GCDEF]

I was also going to propose next permutation, but I thought he wanted something more like this:

0000
0001
0010
0011
0100
0101
0110
...

Let's see. That's 0, 1, 2, 3, 4, 5, 6... Maybe there's a pattern there.