In this Python program, we will convert Gray codes to binary codes. Gray code is a binary numeral system where two successive values differ by only one bit. Converting Gray codes to binary codes allows us to obtain the corresponding binary representation.

## Problem Statement

Given a Gray code as input, we need to convert it to its equivalent binary code.

## Python Program to Convert Gray to Binary Code

def gray_to_binary(gray_code): binary_code = gray_code[0] for i in range(1, len(gray_code)): if gray_code[i] == '0': binary_code += binary_code[i-1] else: binary_code += str(1 - int(binary_code[i-1])) return binary_code # Test the program gray_code = input("Enter the Gray code: ") binary_code = gray_to_binary(gray_code) print(f"Binary code: {binary_code}")

## How It Works

- The function
`gray_to_binary(gray_code)`

takes a Gray code as input and returns its equivalent binary code. - We initialize
`binary_code`

as the first character of the Gray code, as it remains unchanged during conversion. - Starting from the second character of the Gray code, we iterate through each bit.
- If the current bit is ‘0’, we append the same value as the previous bit of
`binary_code`

to`binary_code`

. - If the current bit is ‘1’, we append the complement of the previous bit of
`binary_code`

to`binary_code`

(1 minus the previous bit value). - After iterating through all the bits of the Gray code, we have the complete binary code.
- Finally, we return
`binary_code`

, which will be the equivalent binary code of the input Gray code.

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