Sure. Here is the code:

#!/usr/bin/perl

use strict;
use warnings;

my $size = 18;
my $n = 10 ** $size;
my @number = 0;

my $binary = 1 . 0 x 8192;

for ( split //, $binary )
{
  my $carry = $_;
  for ( @number )
    {
    $_ += $_ + $carry;
    $carry = int $_ / $n;
    $_ %= $n;
    }
  $carry and push @number, $carry;
}
s/0+(?=.)// for my $decimal = join '', map sprintf('%0*d', $size, $_),
+ reverse @number;
print "$decimal\n";
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