Character Frequency ? X W e t 27 18 S 15 a 22 5 14 3 11 (1) Please construct the Huffman tree for the above characters and frequencies. (2) Please find the Huffman codes for these characters. (3) A file consisting of 100,000 instances of these seven characters is stored using a fixed-length binary encoding scheme. How many bits are required for each code and what is the toal number of bits needed? (4) Storing the same file using the Huffman code in (2), how many bits are needed?

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
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I only need help with the fourth question, as I'm not sure how to calculate for the number of bits that are needed.

Character
Frequency
?
× W
ets
a
14 3 11 27
18 22
5
(1) Please construct the Huffman tree for the above characters and frequencies.
(2) Please find the Huffman codes for these characters.
(3) A file consisting of 100,000 instances of these seven characters is stored using a fixed-length
binary encoding scheme. How many bits are required for each code and what is the toal number of
bits needed?
(4) Storing the same file using the Huffman code in (2), how many bits are needed?
Transcribed Image Text:Character Frequency ? × W ets a 14 3 11 27 18 22 5 (1) Please construct the Huffman tree for the above characters and frequencies. (2) Please find the Huffman codes for these characters. (3) A file consisting of 100,000 instances of these seven characters is stored using a fixed-length binary encoding scheme. How many bits are required for each code and what is the toal number of bits needed? (4) Storing the same file using the Huffman code in (2), how many bits are needed?
8
/\
5 3
35
8. character: ?
xwe
t
frequency: 14 3 11 27 18 22 5
1)
18. 11 14 187 22 227
814 18 228 222 2277
a
+18
24
19
5 3
59
41
1128 14
11
8
32
27
19 22
41
1432 27.41
14 18
27
18
1922
22
8
19
100
% \!
091 SA
11 0/
22
32
27
E
of \
3
MX
0/4/1/S
8 11/4 18 0/
%\'
58
W
t
2) S: 011
"W: 001 5
sa: 00011
3 x: 00000
18 t: M 7
14?:00-6
27 C: 10+2
3
14 18
HR.
t
Transcribed Image Text:8 /\ 5 3 35 8. character: ? xwe t frequency: 14 3 11 27 18 22 5 1) 18. 11 14 187 22 227 814 18 228 222 2277 a +18 24 19 5 3 59 41 1128 14 11 8 32 27 19 22 41 1432 27.41 14 18 27 18 1922 22 8 19 100 % \! 091 SA 11 0/ 22 32 27 E of \ 3 MX 0/4/1/S 8 11/4 18 0/ %\' 58 W t 2) S: 011 "W: 001 5 sa: 00011 3 x: 00000 18 t: M 7 14?:00-6 27 C: 10+2 3 14 18 HR. t
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