Given a string of digit characters including totally 21 digit characters (7 different character symbols). a) Determine and draw the Huffman Tree, based on different character symbols of the string "318159865358979383886" above, and their frequencies of occurrence as their weights. No steps required. b) List the prefix codes of different character symbols, based on this Huffman Tree. c) Find the weighted path length (WPL) of the prefix codes and its average bit length (ABL), with 3 decimal places. Show the steps of your calculation.

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
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Given a string of digit characters
including totally 21 digit characters (7 different character symbols).
a) Determine and draw the Huffman Tree, based on different character
symbols of the string
"318159865358979383886"
above, and their frequencies of occurrence as their weights. No steps
required.
b) List the prefix codes of different character symbols, based on this
Huffman Tree.
c) Find the weighted path length (WPL) of the prefix codes and its average
bit length (ABL), with 3 decimal places. Show the steps of your calculation.
Transcribed Image Text:Given a string of digit characters including totally 21 digit characters (7 different character symbols). a) Determine and draw the Huffman Tree, based on different character symbols of the string "318159865358979383886" above, and their frequencies of occurrence as their weights. No steps required. b) List the prefix codes of different character symbols, based on this Huffman Tree. c) Find the weighted path length (WPL) of the prefix codes and its average bit length (ABL), with 3 decimal places. Show the steps of your calculation.
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