A 12‑bit data word $101100110011$ is to be transmitted using a CRC with generator polynomial $G(x)=x^{4}+x+1$ (binary representation $10011$).

1. Compute the 4‑bit CRC remainder that must be appended to the data word.

2. Suppose the transmitted frame suffers a single‑bit error at the 7th bit (counting from the left). Will the CRC detect this error? Justify your answer.

Question

A 12‑bit data word $101100110011$ is to be transmitted using a CRC with generator polynomial $G(x)=x^{4}+x+1$ (binary representation $10011$).

1. Compute the 4‑bit CRC remainder that must be appended to the data word.

2. Suppose the transmitted frame suffers a single‑bit error at the 7th bit (counting from the left). Will the CRC detect this error? Justify your answer.

Accepted Answer

Remainder = 1010; the CRC will detect the error.

Gce Model Questions Vol1 2021 Computer Studies Question 24

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