Problem 2 Eight equally likely messages are encoded using the following set of code 1.rvords for transmission over a binary symmetric channel with crossover probability E: :1 = Ei H5 = 1031 H1: ["311 Kg: 1||Ci1I H3 = 0101 H? = 1131] x4 = 0111:} x3 = 1111 If the sequence is received at the channel output, find: a] The amount of information provided to the recipient about 11 by the first digit received. b} The add'rtional amounts of information about H1 provided by the second, the third, and the fourth received digit