HW4_Solution.pdf

# HW4_Solution.pdf - ELEC1010 Homework 4[16 Deadline 10pm on...

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1 of 3 ELEC1010 Homework 4 [16] Deadline: 10pm on 14 Nov. (Mon) Please submit ONE soft copy (pdf only) of your assignment to Canvas (Assignments) before the deadline. NO LATE Submission! (Zero mark!) 1. There are 280 students in a midterm exam. There are four grades and the number of students obtaining each grade is shown below: [7] 1) At a minimum, what is the average bits/symbol needed to encode the grades of the 280 students? [2 marks] 7 280 ࠵?࠵?࠵? 2 ( 280 7 ) + 5 280 ࠵?࠵?࠵? 2 ( 280 5 ) + 23 280 ࠵?࠵?࠵? 2 ( 280 23 ) + 245 280 ࠵?࠵?࠵? 2 ( 280 245 ) = 0.7015 ࠵?࠵?࠵?/࠵?࠵?࠵?࠵?࠵?࠵? 2) Suppose the symbols are encoded using fixed-length coding i. Define the symbol-to-bit sequence mapping table with the minimum code length. [1 mark] 7 5 23 245 0 50 100 150 200 250 300 20 30 40 60 No. of students Grade

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2 of 3 Symbol Codeword 20 00 30 01 40 10 60 11 ii. What is the average bits/symbol for this encoding? Average: 2 bits/symbol [1 mark] 3) Suppose the symbols are encoded using Huffman code, a variable-length code.
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