How to resolve the algorithm Gray code step by step in the bc programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Gray code step by step in the bc 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 bc programming language
Source code in the bc programming language
scale = 0 /* to use integer division */
/* encode Gray code */
define e(i) {
auto h, r
if (i <= 0) return 0
h = i / 2
r = e(h) * 2 /* recurse */
if (h % 2 != i % 2) r += 1 /* xor low bits of h, i */
return r
}
/* decode Gray code */
define d(i) {
auto h, r
if (i <= 0) return 0
h = d(i / 2) /* recurse */
r = h * 2
if (h % 2 != i % 2) r += 1 /* xor low bits of h, i */
return r
}
/* print i as 5 binary digits */
define p(i) {
auto d, d[]
for (d = 0; d <= 4; d++) {
d[d] = i % 2
i /= 2
}
for (d = 4; d >= 0; d--) {
if(d[d] == 0) "0"
if(d[d] == 1) "1"
}
}
for (i = 0; i < 32; i++) {
/* original */ t = p(i); " => "
/* encoded */ e = e(i); t = p(e); " => "
/* decoded */ d = d(e); t = p(d); "
"
}
quit
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