Program to convert gray code for a given number in python

Suppose we have a number n, we have to find the gray code for that given number (in other words nth gray code). As we know the gray code is a way of ordering binary numbers such that each consecutive number's values differ by exactly one bit. Some gray codes are: [0, 1, 11, 10, 110, 111, and so on]

So, if the input is like n = 12, then the output will be 10 as the 12 is (1100) in binary, corresponding gray code will be (1010) whose decimal equivalent is 10.

To solve this, we will follow these steps:

• Define a function solve() . This will take n
• if n is same as 0, then
  • return 0
• x := 1
• while x * 2 <= n, do
  • x := x * 2
• return x + solve(2 * x - n - 1)

Let us see the following implementation to get better understanding:

Example

Live Demo

class Solution:
   def solve(self, n):
      if n == 0:
         return 0
      x = 1
      while x * 2 <= n:
         x *= 2
      return x + self.solve(2 * x - n - 1)

ob = Solution()
n = 12
print(ob.solve(n))

Input

12

Output

10

Arnab Chakraborty

Published on 26-Nov-2020 06:58:20

• Related Questions & Answers
• Python Program to Convert Gray Code to Binary
• Python Program to Convert Binary to Gray Code
• Gray Code in C++
• What is Gray code?
• Binary to Gray code using recursion in C program
• 8085 program to convert gray to binary
• Conversion of Binary to Gray Code
• Conversion of Gray Code to Binary
• 8085 program to convert binary numbers to gray
• C Program to convert a given number to words
• 8085 code to convert binary number to ASCII code
• Python Program for How to check if a given number is a Fibonacci number?
• Write a Python code to combine two given series and convert it to a dataframe
• Python Program for Efficient program to print all prime factors of a given number
• 8085 program to convert 8 bit BCD number into ASCII Code