A series of messages is to be transferred between two computers over the Internet. The messages comprise just the characters A through H. Analysis has shown that the probability (relative frequency of occurrence) of each character is as follows: E, F, G, and H-0.055 A and B=0.25, C and D = 0.14, (a) By computing the entropy of the source, derive the minimum average number of bits per character. (b) Use Huffman coding to derive a codeword set. (c) Derive the average number of bits per character for your codeword set and compare this with: (i) the entropy of the messages, (ii) fixed-length binary codewords