Consider building a hash of all 256 possible strings.
#!/usr/bin/perl
use strict;
my %convert=();
my %char = (
'00'=>'a', '01'=>'b',
'10'=>'c', '11'=>'d',
);
for my $n (0..255){
my $bin = sprintf "%08b",$n;
(my $str = $bin) =~ s/(..)/$char{$1}/eg;
$convert{$str} = int $bin;
}
for ( qw( aaaa abcd dcba abab cdcd abba caab dddd) ){
print $_.' '.$convert{$_}."\n";
}
poj
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