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A series of messages is to be transferred between two computers over a PSTN . The messages comprise just the characters A through H .

A series of messages is to be transferred between two computers over a PSTN. 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:
A=0.3,B=0.2,C and D=0.14,E,F,G, and H=0.055
Use Shannon's formula to derive the minimum average number of bits per
character
Use Huffman coding to derive a codeword set and prove that this is the minimum
set by constructing the corresponding Huffman code tree
Derive the average number of bits per character for your codeword set and
compare this with:
The entropy of the messages (Shannon's value),
Fixed-length binary codewords,
7-bit ASCII codewords
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