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a) Find the Hamming distance between the codewords that correspond to datawords 0111 and 1100. (b)  Suppose the Hamming distance you found in part (a) is the minimum Hamming distance between all pairs in the codebook. What does this tell us about the number of errors this code can detect?

a) Find the Hamming distance between the codewords that correspond to datawords 0111 and 1100. (b)  Suppose the Hamming distance you found in part (a) is the minimum Hamming distance between all pairs in the codebook. What does this tell us about the number of errors this code can detect?

Systems Architecture
Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter3: Data Representation
Section: Chapter Questions
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(a) Find the Hamming distance between the codewords that correspond to datawords 0111 and 1100.

(b)  Suppose the Hamming distance you found in part (a) is the minimum Hamming distance between all pairs in the codebook. What does this tell us about the number of errors this code can detect?

For this question, use the CRC introduced by Hamming: Dataword Codeword Dataword Codeword 0000 0000 000 1000 1000 101 0001 0001 011 1001 1001 110 0010 0010 110 1010 1010 011 0011 0011 101 1011 1011 000 0100 0100 111 1100 1100 010 0101 0101 100 1101 1101 001 0110 0110 001 1110 1110 100 0111 0111 010 1111 1111 111
Transcribed Image Text:For this question, use the CRC introduced by Hamming: Dataword Codeword Dataword Codeword 0000 0000 000 1000 1000 101 0001 0001 011 1001 1001 110 0010 0010 110 1010 1010 011 0011 0011 101 1011 1011 000 0100 0100 111 1100 1100 010 0101 0101 100 1101 1101 001 0110 0110 001 1110 1110 100 0111 0111 010 1111 1111 111
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