PROBLEM 5 Consider the following tree for a prefix code: 1 n 1 1 y Figure 13: A tree with 5 vertices. The top vertex branches into character, a, on the left, and a vertex on the right. The vertex in the second level branches into character, e, on the left, and a vertex on the right. The vertex in the third level branches into two vertices. The left vertex in the fourth level branches into charac- ter, c, on the left, and character, n, on the right. The right vertex in the fourth level branches into character, d, on the left, and character, y, on the right. The weight of each edge branching left from a vertex is 0. The weight of each edge branching right from a vertex is 1. (a) Use the tree to encode "day". (b) Use the tree to encode "candy".
PROBLEM 5 Consider the following tree for a prefix code: 1 n 1 1 y Figure 13: A tree with 5 vertices. The top vertex branches into character, a, on the left, and a vertex on the right. The vertex in the second level branches into character, e, on the left, and a vertex on the right. The vertex in the third level branches into two vertices. The left vertex in the fourth level branches into charac- ter, c, on the left, and character, n, on the right. The right vertex in the fourth level branches into character, d, on the left, and character, y, on the right. The weight of each edge branching left from a vertex is 0. The weight of each edge branching right from a vertex is 1. (a) Use the tree to encode "day". (b) Use the tree to encode "candy".
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(c) Use the tree to decode "1110101101".
(d) Use the tree to decode "111001101110010".
Transcribed Image Text:PROBLEM 5
Consider the following tree for a prefix code:
1
e
C
1
1
1
n d y
Figure 13: A tree with 5 vertices. The top vertex branches into character, a,
on the left, and a vertex on the right. The vertex in the second level branches into
character, e, on the left, and a vertex on the right. The vertex in the third level
branches into two vertices. The left vertex in the fourth level branches into charac-
ter, c, on the left, and character, n, on the right. The right vertex in the fourth level
branches into character, d, on the left, and character, y, on the right. The weight
of each edge branching left from a vertex is 0. The weight of each edge branching
right from a vertex is 1.
(a) Use the tree to encode "day".
(b) Use the tree to encode "candy".
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