Consider the following messaging system. Messages are 8-letterlong strings. They use an alphabet of 8 letters:{A,B,C,D,E,F,G,H}. Calculate the Entropy H(information measure in bits) of the following messages. Show yourcalculations:
S1 = AAAAAAAA H(S1) =
S2 = AAAABBBB H(S2) =
S3 = AABBCCDD H(S3)=
S4 = ABCDEFGH H(S4) =
Compare the entropy of a dice-roll for the fair dice (six-sided)and the fake dice.
Is the entropy of the fake dice greater than or less than theentropy of the fair dice?
Is the entropy of the fair dice greater or less than themaximum entropy of the 8-letter string of 8 letteralphabet?
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