In a text, the following letters A-H occur with the following number of times A EFGH B C_D 28 20 16 12 10 8 4 2 There are no other symbols in this text. (a) Derive the Huffman tree and calculate the associated Huffman code with the letters A-H. (b) Calculate the entropy H(S) for this text. (c) Calculate the average length of this text when coded with the Huffman code you derived in part (a) above. (d) Calculate the efficiency of this Huffman code n = H(S)/L. (e) Assuming each letter is represented by an 8-bit ASCII symbol, calculate the uncoded length L of this text. (f) Calculate the compression ratio r = L/L.

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