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

Published on 12 May 2024 09:40 PM
#Quackery

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

Source code in the quackery programming language

  [ dup 1 >> ^ ]        is encodegray (   n --> n )
  
  [ dup
    [ dip [ 1 >> ]
      over ^ 
      over 0 = until ]
    nip ]               is decodegray (   n --> n )
  
  [ [] unrot times 
      [ 2 /mod char 0 + 
        rot join swap ]
    drop echo$ ]        is echobin    ( n n -->   )
    

  say "number  encoded  decoded" cr
  say "------  -------  -------" cr
  32 times 
    [ sp i^ 5 echobin
      say " -> "
      i^ encodegray dup 5 echobin 
      say " -> "
      decodegray 5 echobin cr ]

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