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What is the rate of the hamming code of parity bit m=8?

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in Data Structures & Algorithms II by (80.7k points)
What is the rate of the hamming code of parity bit m=8?

(a) 0.94

(b) 0.92

(c) 0.90

(d) 0.97

The question was posed to me by my school principal while I was bunking the class.

My question comes from Checksum, Complexity Classes & NP Complete Problems in division Checksum, Complexity Classes & NP Complete Problems of Data Structures & Algorithms II

1 Answer

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The correct choice is (d) 0.97

Explanation: For a hamming code of parity bit 8, total bits = 255 and data bits = 247. Rate= data bits/ total bits

                       = 247/255 = 0.969 = 0.97.

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