Error Control Codes MCQs

Practice Error Control Codes MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.

Question 1

Digital ElectronicsError Control Codes

For a Hamming code protecting m=11 data bits with single-error correction, what is the minimum number r of parity bits required?

Show AnswerHide Answer Report an error

Correct Answer: B. 4

Explanation: Hamming SEC requires 2^r ≥ m+r+1. With m=11, r=4 gives 16 ≥ 11+4+1 = 16, so four parity bits are sufficient.

Reference: Standard digital electronics: Hamming code

Question 2

Digital ElectronicsError Control Codes

A standard Hamming code with minimum Hamming distance dmin=3 can?

ACorrect one bit error but not guarantee correction of two bit errors
BCorrect any two bit errors
CCorrect any three bit errors
DOnly detect one bit error and correct none

Show AnswerHide Answer Report an error

Correct Answer: A. Correct one bit error but not guarantee correction of two bit errors

Explanation: A code with dmin=3 can correct floor((dmin−1)/2)=1 error. It can detect up to two errors, but ordinary Hamming decoding cannot reliably correct two.

Reference: Standard digital electronics: Hamming distance