Question

What is the distance of a received code (00111) from a valid
code of (00101)?

Answer 1

The Hemming distance between the received code (00111) and the valid code (00101) is 1, as they differ by one bit in the fourth position.

Step-by-step explanation:

The distance of a received code (00111) from a valid code (00101) can be determined by counting the number of positions in which the corresponding bits are different. This is known as the Hemming distance. In our case, we compare each bit of the two codes:

• 0 and 0 are the same.
• 0 and 0 are the same.
• 1 and 1 are the same.
• 1 and 0 are different.
• 1 and 1 are the same.

There is only one position in which the bits differ (the fourth position), so the Hemming distance between the received code and the valid code is 1.