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

question 69

Multiple Choice

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.