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Consider the given table and determine a. The source code using Fano Coding technique. b. Determine the average length of code. c. Determine the entropy of the source. d. Determine the efficiency of the code.

Consider the given table and determine a. The source code using Fano Coding technique. b. Determine the average length of code. c. Determine the entropy of the source. d. Determine the efficiency of the code.

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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Question 1: Consider the given table and determine a. The source code using Fano Coding technique. b. Determine the average length of code. c. Determine the entropy of the source. d. Determine the efficiency of the code.
Note: Please the solution must be the same as this step Fano Coding: Example Average Length of code LA = 0.5 * 1+ 2 0.125 * 3 +3 0.0625 * 4 + 2 * 0.03125 S1 Src Pi Code 0.5 b * 5 = 2.3125 S S2 0.125 100 Entropy of Source S3 0.125 101 H(S) S4 0.0625 1100 0.35(0.5) + 2 * 0.125log2(0.125) (+ 3 + 0.0625log2(0.0625) + 2 • 0.03125log2(0.03125) S5 0.0625 1101 = 2.3125 - S6 0.0625 1110 • Efficiency of Code H(s) 2.3125 NA * 100 = 100% S7 0.03125 11110 La 2.3125 S8 0.03125 11111
Transcribed Image Text:Note: Please the solution must be the same as this step Fano Coding: Example Average Length of code LA = 0.5 * 1+ 2 0.125 * 3 +3 0.0625 * 4 + 2 * 0.03125 S1 Src Pi Code 0.5 b * 5 = 2.3125 S S2 0.125 100 Entropy of Source S3 0.125 101 H(S) S4 0.0625 1100 0.35(0.5) + 2 * 0.125log2(0.125) (+ 3 + 0.0625log2(0.0625) + 2 • 0.03125log2(0.03125) S5 0.0625 1101 = 2.3125 - S6 0.0625 1110 • Efficiency of Code H(s) 2.3125 NA * 100 = 100% S7 0.03125 11110 La 2.3125 S8 0.03125 11111
Note: this table with Question 1 Source Pi S1 0.3 S2 0.2 S3 0.2 S4 0.1 S5 0.1 S6 0.05 S7 0.05
Transcribed Image Text:Note: this table with Question 1 Source Pi S1 0.3 S2 0.2 S3 0.2 S4 0.1 S5 0.1 S6 0.05 S7 0.05
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