You propose a code in which each three-digit binary message word a₁ a₂ a₃ has appended two parity-check digits c₁ = a₁ + a₂ and c₂ = a₂ + a₃. 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 uses parity-check digits to detect errors. It can detect any single-digit error because a single error will change the parity, but it cannot correct errors because it does not have enough information to determine which digit is incorrect.

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