This is a Python program to convert binary to Gray code.

We are given a binary number. We have to find the associated Gray codeword.

1. The function binary_to_gray is defined.

2. It takes the binary number as a string as argument.

3. It returns its associated Gray codeword as a string.

4. If b(i) is the ith bit in the binary number and g(i) is the ith bit in its associated Gray codeword where the 0th bit is the MSB, it can be shown g(0) = b(0) and g(i) = b(i) XOR b(i – 1) for i > 0.

5. Thus a binary number b can be converted to its associated Gray codeword by performing b XOR (b >> 1).

Here is the source code of a Python program to convert binary to Gray codeword. The program output is shown below.

def binary_to_gray(n): """Convert Binary to Gray codeword and return it.""" n = int(n, 2) # convert to int n ^= (n >> 1) # bin(n) returns n's binary representation with a '0b' prefixed # the slice operation is to remove the prefix return bin(n)[2:] g = input('Enter binary number: ') b = binary_to_gray(g) print('Gray codeword:', b)

1. The user is prompted to enter the binary number.

2. binary_to_gray is called on the binary number.

3. The returned string which is its associated Gray codeword is displayed.

Case 1: Enter binary number: 110 Gray codeword: 101 Case 2: Enter binary number: 1001 Gray codeword: 1101 Case 3: Enter binary number: 11 Gray codeword: 10

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