Question: 1. Huffman Coding: The objective of this problem is to design and develop a program for Huffman coding algorithm. The discrete source has an alphabet

1. Huffman Coding: The objective of this problem is to design

1. Huffman Coding: The objective of this problem is to design and develop a program for Huffman coding algorithm. The discrete source has an alphabet X={x1,x2,x3,x4,x5,x6,x7,x8,x9} with corresponding probabilities, P={0.2,0.15,0.13,0.12,0.1,0.09,0.08,0.07,0.06}. (a). Solving the problems below by hands (without programming) - Design a Huffman code and sketch the corresponding code tree. Specify the Huffman codes for the nine symbols in the alphabet. - Determine the average code length of the Huffman code. - Determine the entropy of the source and compare it with the average codeword length of the Huffman code. Is there any difference (redundancy)

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