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  1. or download this
    use strict;
use warnings;
...
my $np = pack 'b*', $b;
my $nfp = unpack 'F', $np;
printf "%25.32g\n", $nfp;
  2. or download this
                          0.5
0000000000000000000000000000000000000000000000000000011111111100
1000000000000000000000000000000000000000000000000000011111111100
0.50000000000000011102230246251565