Compute the Hamming Distance between each pair of codewords in the tablebelow.Codeword 100010101010100010111100010111000101Codeword 200011111010100010100000010110001010Hamming Distance Examine the two Huffman trees below. The probabilities of the letters of the alphabetare given below. Do the following. Label the tree branches 0 and 1. Hence write downthe binary code under each letter in the table below. Compute the averagecodeword for each tree. Is there a difference or do both trees have the samecodeword length?Tree 1CodeTree 2CodeсA0.20B0.17TREE 1C0.14HD0.12E0.11F0.10G0.09TREE 2H0.07

Answered: Compute the Hamming Distance between…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Compute the Hamming Distance between each pair of codewords in the table
below.
Codeword 1
000101
010101
00010111
1000101
11000101
Codeword 2
000111
110101
00010100
0000101
10001010
Hamming Distance

Examine the two Huffman trees below. The probabilities of the letters of the alphabet
are given below. Do the following. Label the tree branches 0 and 1. Hence write down
the binary code under each letter in the table below. Compute the average
codeword for each tree. Is there a difference or do both trees have the same
codeword length?
Tree 1
Code
Tree 2
Code
с
A
0.20
B
0.17
TREE 1
C
0.14
H
D
0.12
E
0.11
F
0.10
G
0.09
TREE 2
H
0.07

Expert Solution

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Hamming Distance:

Hamming distance between two strings of equal length is the number of positions at which the relative symbols are different.

example: 1 1 0 1

1 0 0 1

--------------------

1- mismatched, relative symbol is different.

So, the Hamming distace is 1.

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