Question: An information source produces binary triplets {000, 111, 010, 101, 001, 110, 100, 011} with corresponding probabilities { 1/4, 1/4, 1/8, 1/8, 1/16, 1/16, 1/16,

An information source produces binary triplets {000, 111, 010, 101, 001, 110, 100, 011} with corresponding probabilities { 1/4, 1/4, 1/8, 1/8, 1/16, 1/16, 1/16, 1/16} A binary code assigns a codeword of length to triplet k. Let X be the length of the string assigned to the output of the information source. (a) Show the mapping from S to the range of X. (b) Find the probabilities for the various values of X.

Find the mean codeword length . How can this average be interpreted in a very large number of encodings of binary triplets?

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