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

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Gray code step by step in the Euphoria 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):

Let's start with the solution:

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

Source code in the euphoria programming language

function gray_encode(integer n)
    return xor_bits(n,floor(n/2))
end function

function gray_decode(integer n)
    integer g
    g = 0
    while n > 0 do
        g = xor_bits(g,n)
        n = floor(n/2)
    end while
    return g
end function

function dcb(integer n)
    atom d,m
    d = 0
    m = 1
    while n do
        d += remainder(n,2)*m
        n = floor(n/2)
        m *= 10
    end while
    return d
end function

integer j
for i = #0 to #1F do
    printf(1,"%05d => ",dcb(i))
    j = gray_encode(i)
    printf(1,"%05d => ",dcb(j))
    j = gray_decode(j)
    printf(1,"%05d\n",dcb(j))
end for

  

You may also check:How to resolve the algorithm Find limit of recursion step by step in the Maxima programming language
You may also check:How to resolve the algorithm Four bit adder step by step in the M2000 Interpreter programming language
You may also check:How to resolve the algorithm HTTP step by step in the REBOL programming language
You may also check:How to resolve the algorithm Sorting algorithms/Gnome sort step by step in the jq programming language
You may also check:How to resolve the algorithm Literals/Integer step by step in the Stata programming language