Order a unique copy of this paper Hamming Distance and Error Correction CodeConsider the primitive design of an error-resilient code using bit-repetition to protect the message bit M1. (a) Consider the following repetition code: M1P1P2 where P1 = P2 = M1. Construct a table of all valid code-words. What is the maximum Hamming distance between the valid code-words? What is the minimum Hamming distance between the valid code-words? How many bit-error(s) can we detect? How many bit-error(s) can we correct? (c) Design an error correction circuit for your repetition code using basic logic gates. (d) We would like to improve the error-correction capability of the repetition code. How many more repetitive bits do you have to add? Construct a table of all valid code-words. What is the minimum Hamming distance between the valid code-words? How many bit-error(s) can we detect now? How many bit-error(s) can we correct now? (e) Design an error detection circuit for your new repetition code using basic logic gates. (f) Design an error correction circuit for your new repetition code using basic logic gates

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