A 7‑bit Hamming code is used to transmit a 4‑bit data word. Given the data bits $1011$, (a) construct the 7‑bit code word, (b) if the received code word has a single‑bit error at position 5, show how the error is detected and corrected, and (c) state the corrected data bits.

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Accepted Answer

Transmitted code: 0110011; error detected at position 5; corrected data bits: 1011

Neco 2022 Computer Studies Question 44

A 7‑bit Hamming code is used to transmit a 4‑bit data word. Given the data bits \(1011\), (a) construct the 7‑bit code word, (b) if the received code word has a single‑bit error at position 5, show how the error is detected and corrected, and (c) state the corrected data bits.

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Neco 2022 Computer Studies Question 44

A 7‑bit Hamming code is used to transmit a 4‑bit data word. Given the data bits \(1011\), (a) construct the 7‑bit code word, (b) if the received code word has a single‑bit error at position 5, show how the error is detected and corrected, and (c) state the corrected data bits.

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Master the Exam!

A 7‑bit Hamming code is used to transmit a 4‑bit data word. Given the data bits \(1011\), (a) construct the 7‑bit code word, (b) if the received code word has a single‑bit error at position 5, show how the error is detected and corrected, and (c) state the corrected data bits.