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Question 1: Design the Hamming error correcting code for a nibble, Derive the G and E...

Question 1: Design the Hamming error correcting code for a nibble, Derive the G and E matrix and list all the possible values of S and what they mean. Question 2: Use the results from question 1 and show examples of what happens when a nibble is received without errors and when a nibble is received with an error. Question 3: How can the Hamming error correcting code be improved? What are the improvement(s) and implications?

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Answer #1

E means message = 1010 ( as per solved above)

P1=S1= =1: positions checked for even parity positions 1,3,5,7

P2= S2= 0 : positions checked for even parity positions 2,3,6,7

P3= S3= 1 : positions checked for even parity positions 4,5,6,7

(s1s2 s3) =( 1 0 1)

Matrix

G= [ E1G ]

E2G

E3G

E4G

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