Question: Question 1 (29 Marks): Given an input sequence {D, B, C, A, B} with 4 possible symbols A, B, C, and D. (a) Whatis the

Question 1 (29 Marks): Given an input sequence {D, B, C, A, B} with 4 possible symbols A, B, C, and D. (a) Whatis the probability of occurrence for each symbol? (4 marks) (b) Find the self-information of each symbol. (4 marks) (c) Find the entropy of the input sequence. (4 marks) (d) Encode the input sequence using Huffman coding algorithm. (i) Show all the intermediate steps, tree diagrams, and the final code table. (10 marks) (ii) Why is Huffman coding algorithm considered as a bottom-up algorithm? (4 marks) (iii) Find the code rate, code efficiency and code redundancy using the algorithm.

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