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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}. Abinary code assigns a codeword of length â€“log2 pk to triplet k. Let X be the lengthof the string assigned to the output of the information source.(a) Show the mapping from S to Sx, the range of X.(b) Find the probabilities for the various values of X.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}. Abinary code assigns a codeword of length â€“log2 pk to triplet k. Let X be the lengthof the string assigned to the output of the information source.(a) Show the mapping from S to Sx, the range of X.(b) Find the probabilities for the various values of X.
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