Question: [10] Let M be the set of possible source messages, and let E : M {0, 1} be a prefix-code. (a) Let M be

[10] Let M be the set of possible source messages, and let E : M → {0, 1}∗ be a prefix-code.

(a) Let M be a set of messages using symbols in an alphabet A. Show that if E is a prefix-code on A, then the homomorphism induced by E is a prefix-code on M.

(b) Show that the Shannon–Fano code presented in the main text is a prefix-code.

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