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Computer Engineering
Character Frequency Character Bits Frequency Total Bits F Space 3 4 12 1 A 4. 12 H 1 M 1 3 4. 12 R 1. D 4 8 4 2 8. 4 12 Y L 4 2 8 D N 4 3 12 2 2 8. Y 3 N 3 5. H. 5 Space A 5. 5 R Total: 126

Character Frequency Character Bits Frequency Total Bits F Space 3 4 12 1 A 4. 12 H 1 M 1 3 4. 12 R 1. D 4 8 4 2 8. 4 12 Y L 4 2 8 D N 4 3 12 2 2 8. Y 3 N 3 5. H. 5 Space A 5. 5 R Total: 126

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:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Using Huffman code, we can compress the bits used for saving the characters in a file:

 

Total bits used for saving the character in table 1 is 264 bits using standard ASCII 8 bits for 1 character. Using Huffman code encoding in Table 2, the total bits used is 126 bits. The problem:

➢ Input: list of characters such as table 1

➢ Output: total bits using Huffman code encoding (table 2)

➢ Task: Design an algorithm in pseudocode/code to print the total bits using Huffman code encoding and write down the Algorithm analysis. The complexity of the algorithm must be in O(n) and proof it!

➢ PS: you don’t need to sort the input since the input is already sorted!

Table.1. Characters count. Table 2. Character bit using Huffman code Frequency Character Frequency Character Bits Total Bits F Space 4. 12 A 4 12 1 4. 12 M 1 D 4 2 8 R 1 T 1 G 4 2 8 4 3 12 Y 1 4 2 D 4 12 4 2 8 Y 4 1 4 2 5 F 5 1 5 3 1 5 Space M 1 5 A R 5 1 5 т 5 1 5 Total: 126
Transcribed Image Text:Table.1. Characters count. Table 2. Character bit using Huffman code Frequency Character Frequency Character Bits Total Bits F Space 4. 12 A 4 12 1 4. 12 M 1 D 4 2 8 R 1 T 1 G 4 2 8 4 3 12 Y 1 4 2 D 4 12 4 2 8 Y 4 1 4 2 5 F 5 1 5 3 1 5 Space M 1 5 A R 5 1 5 т 5 1 5 Total: 126
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