I reimplemented your example with BigInt. I hope that this you wanted:
#!/usr/bin/perl
# File displayPipeTracer2.pl
use warnings;
use strict;
use Math::BigInt;
my $testString = " 00008008 000000FF 00800000";
print "Original: $testString\n";
$testString =~ s/\s//g;
$testString =~ s/^/0x/g;
my $big_x = new Math::BigInt($testString);
my $big_y = new Math::BigInt("40000000_00000000_00000000");
my $big_result = $big_x->band( $big_y );
print $big_x->as_hex(), " & ", $big_y->as_hex(), "\n";
print "Mask Result: ", $big_result->as_hex(), "\n";
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