Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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### Huffman Coding Example #### Problem Statement: Determine the Huffman code for the string `GOBBLEDYGOOKEY` by building a Huffman tree. In order to get full credit, show both the Huffman tree and the corresponding Huffman code table. #### Given: The Huffman table is as follows: | char | encoding | |------|----------| | a | 0 | | b | 111 | | c | 1011 | | d | 100 | | e | 110 | | f | 1010 | #### Task: 1. **Construct the Huffman Tree:** Draw the Huffman tree based on the frequency of each character in the string `GOBBLEDYGOOKEY` and the provided encoding. 2. **Huffman Code Table:** Use the table provided to understand the encoding of each character. ### Explanation: The Huffman coding algorithm is used for lossless data compression. The idea is to assign shorter codes to more frequent characters and longer codes to less frequent characters. To construct the Huffman tree: - Determine the frequency of each character in the string `GOBBLEDYGOOKEY`. - Construct nodes for each character and combine them into a binary tree structure based on their frequencies, starting with the least frequent characters. *Note: The table provided may already be a derived Huffman code table based on some frequency analysis. The encoding provided for each character helps you understand how the binary tree would split to encode each character efficiently.*
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Transcribed Image Text:### Huffman Coding Example #### Problem Statement: Determine the Huffman code for the string `GOBBLEDYGOOKEY` by building a Huffman tree. In order to get full credit, show both the Huffman tree and the corresponding Huffman code table. #### Given: The Huffman table is as follows: | char | encoding | |------|----------| | a | 0 | | b | 111 | | c | 1011 | | d | 100 | | e | 110 | | f | 1010 | #### Task: 1. **Construct the Huffman Tree:** Draw the Huffman tree based on the frequency of each character in the string `GOBBLEDYGOOKEY` and the provided encoding. 2. **Huffman Code Table:** Use the table provided to understand the encoding of each character. ### Explanation: The Huffman coding algorithm is used for lossless data compression. The idea is to assign shorter codes to more frequent characters and longer codes to less frequent characters. To construct the Huffman tree: - Determine the frequency of each character in the string `GOBBLEDYGOOKEY`. - Construct nodes for each character and combine them into a binary tree structure based on their frequencies, starting with the least frequent characters. *Note: The table provided may already be a derived Huffman code table based on some frequency analysis. The encoding provided for each character helps you understand how the binary tree would split to encode each character efficiently.*
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