Question

The Hamming distance between 11001011 and 10000111 is

• A. 4
• B. 1
• C. 2
• D. 3

Hint:

The Hamming distance measures the number of differing bits between two binary strings. Simply compare corresponding bits and count the differences.

Answer 1

The Correct Option is D

The Hamming distance is calculated by comparing two strings bit by bit and counting how many bits are different between them. Let's compare the two binary strings:

\( \text{11001011} \) \( \text{10000111} \)

Comparing each bit position:

• First position: 1 vs 1 (same)
• Second position: 1 vs 0 (different)
• Third position: 0 vs 0 (same)
• Fourth position: 0 vs 0 (same)
• Fifth position: 1 vs 0 (different)
• Sixth position: 0 vs 1 (different)
• Seventh position: 1 vs 1 (same)
• Eighth position: 1 vs 1 (same)

The bits that differ are at positions 2, 5 and 6.

Therefore, the Hamming distance is 3.

Therefore, the correct answer is 3.