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, 1/16,1/16}. A

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 log2 pk 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 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}. A binary code assigns a codeword of length log2 pk 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 Sx, the range of X. (b) Find the probabilities for the various values of X.

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