Presuming you don't care about the order, the following may be what you are after:
use strict;
use warnings;
for my $left (1 .. 4) {
for my $right (0 .. $left -1) {
printf "%05b\n", (1 << $left) | (1 << $right);
}
}
Prints:
00011
00101
00110
01001
01010
01100
10001
10010
10100
11000
DWIM is Perl's answer to Gödel
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