Use your algorithm for the set of probabilities

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(a) Consider extending the Huffman procedure to codes with ternary symbols {0,1, 2 }. Think in terms of code words as leaves of ternary trees. Assume an alphabet with M = 4 symbols. Note that you cannot draw a full ternary tree with four leaves. By starting with a tree of three leaves and extending the tree by converting leaves into intermediate nodes, show for what values of M it is possible to have a complete ternary tree.

(b) Explain how to generalize the Huffman procedure to ternary symbols, bearing in mind your result in part (a).

Reference no: EM131100412

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