Question: Data Compression: In the Noiseless Coding Theorem, where S is the source text, it is shown that if the Source Entropy H(S) is equal to

Data Compression: In the Noiseless Coding Theorem, where S is the source text, it is shown that if the Source Entropy H(S) is equal to (the average length of a code word replacing a source letter) then each frequency f_j is an integer power of 1/2. Show that if each f_jis an integer power of 1/2 then the Shannon & Fano prefix free coding schemes give = H(S).

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