Let C be the code {110, 101, 011, 000}. Which of the following is a true statement?
A) The code can detect and correct any single-digit error.
B) The code can detect any single-digit error and can correct some but not all single-digit errors.
C) The code can detect any single-digit error, but cannot correct any single-digit error.
D) The code can detect some but not all single-digit errors.

Question

Quizplus · Accepted Answer

The code can detect any single-digit error because each codeword is at least a Hamming distance of 2 apart, but it cannot correct any single-digit error because the minimum distance is not 3.

Let C Be the Code {110, 101, 011, 000}