How to resolve the algorithm Gray code step by step in the Common Lisp programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Gray code step by step in the Common Lisp 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 Common Lisp programming language
Source code in the common programming language
(defun gray-encode (n)
(logxor n (ash n -1)))
(defun gray-decode (n)
(do ((p n (logxor p n)))
((zerop n) p)
(setf n (ash n -1))))
(loop for i to 31 do
(let* ((g (gray-encode i)) (b (gray-decode g)))
(format t "~2d:~6b =>~6b =>~6b :~2d~%" i i g b b)))
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