Suppose you create a binary code by appending to each message word a₁ a₂ a₃ three parity-check digits c₁= a₁ + a_{2 ,}c₂= a₂ + a₃, and c₃= a₁ + a₃. Will the resulting code detect and correct all single-digit errors?

Question

Quizplus · Accepted Answer

The code includes parity-check digits, which allow it to detect errors. It can also correct single-digit errors using the parity-check digits. Therefore, the resulting code will detect and correct all single-digit errors.

Suppose You Create a Binary Code by Appending to Each