A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped

A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder
mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the
message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped
to
(a) 0010011
(c) 1111000
(b) 1100001
(d) 1111111

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