How to resolve the algorithm Gray code step by step in the Perl programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Gray code step by step in the Perl programming language

Table of Contents

Problem Statement

Create functions to encode a number to and decode a number from Gray code. Display the normal binary representations, Gray code representations, and decoded Gray code values for all 5-bit binary numbers (0-31 inclusive, leading 0's not necessary). There are many possible Gray codes. The following encodes what is called "binary reflected Gray code." Encoding (MSB is bit 0, b is binary, g is Gray code): Or: Decoding (MSB is bit 0, b is binary, g is Gray code):

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Step by Step solution about How to resolve the algorithm Gray code step by step in the Perl programming language

Source code in the perl programming language

sub bin2gray
{
    return $_[0] ^ ($_[0] >> 1);
}

sub gray2bin
{
    my ($num)= @_;
    my $bin= $num;
    while( $num >>= 1 ) {
        # a bit ends up flipped iff an odd number of bits to its left is set.
        $bin ^= $num;   # different from the suggested algorithm;
    }                   # avoids using bit mask and explicit bittery
    return $bin;
}

for (0..31) {
    my $gr= bin2gray($_);
    printf "%d\t%b\t%b\t%b\n", $_, $_, $gr, gray2bin($gr);
}


  

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