You propose a code in which each two-digit binary message word a₁ a₂ has appended a parity-check digit c₁ = a₁ + a₂. 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 correct some but not all single-digit errors. C) The code can detect any single-digit error, but it 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 the parity check will fail if any single bit is altered. However, it cannot correct any single-digit error because it does not provide enough information to determine which bit was incorrect.

You Propose a Code in Which Each Two-Digit Binary Message