Unless you're dealing with very large numbers of values, you're working way too hard. pack takes a list of inputs and can process a whole array at a time. So the output to a file can be as simple as:

open OUT, '>:raw', 'data.bin' or die $!;;
print OUT pack 'V*', @values;;
close OUT;;
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And to read them back, unpack can process an unknown length string and produce a list. So that makes it as simple as:

open IN, '<:raw', 'data.bin' or diie $!;;
my @values = unpack 'V*', do{ local $/; <IN> };;
close IN;;
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