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Question: please solve the question please do not use solution manuel...

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12.19 A source has an alphabet (ai, az, ,a2.as, a) with corresponding probabilities (0.1, 0.2,0.3, 0.4). 1. Find the entropy of the source. 2 What is the minimum required average code word length to represent this source with for error-free reconstruction? Huffman code with the entropy of the source. at a time). What is the average code word length? What is the average number 3. Design a Huffman code for the source and compare the average length of the 4. Design a Huffman code for the second extension of the source (take two letters of required binary letters per each source output letter? 5. Which is a more efficient coding scheme: the Huffman coding of the original source or the Huffman coding of the second extension of the source?

please solve the question. please do not use solution manuel of the book.

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