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Given the following tree of prefix codes, decode the bit string: 010011111000101

Given the following tree of prefix codes, decode the bit string: 010011111000101

Database System Concepts
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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Given the following tree of prefix codes, decode the bit string: 010011111000101

The image depicts a binary tree used for encoding characters into binary sequences, which might represent a simplified version of a Huffman coding tree. Below is a transcription and description of the tree structure: - The tree consists of nodes connected by edges labeled with "0" or "1". - It starts at the root node at the top. - The left branch from the root is labeled "0" and the right branch is labeled "1". ### Left Subtree: 1. The left child node (from the root) leads to another branching: - Following "0" leads to a leaf node with the character "E". - Following "1" leads to another branching: - "0" leads to the character "T". - "1" leads to the character "A". ### Right Subtree: 2. The right child node (from the root) leads to another branching: - Following "0" leads to another branching: - "0" results in the character "R". - "1" leads to the character "S". - Following "1" leads to another branching: - "0" results in the character "I". - "1" leads to the character "X". This diagram exemplifies how binary trees can be used to encode characters with unique binary prefixes, often used in data compression techniques.
Transcribed Image Text:The image depicts a binary tree used for encoding characters into binary sequences, which might represent a simplified version of a Huffman coding tree. Below is a transcription and description of the tree structure: - The tree consists of nodes connected by edges labeled with "0" or "1". - It starts at the root node at the top. - The left branch from the root is labeled "0" and the right branch is labeled "1". ### Left Subtree: 1. The left child node (from the root) leads to another branching: - Following "0" leads to a leaf node with the character "E". - Following "1" leads to another branching: - "0" leads to the character "T". - "1" leads to the character "A". ### Right Subtree: 2. The right child node (from the root) leads to another branching: - Following "0" leads to another branching: - "0" results in the character "R". - "1" leads to the character "S". - Following "1" leads to another branching: - "0" results in the character "I". - "1" leads to the character "X". This diagram exemplifies how binary trees can be used to encode characters with unique binary prefixes, often used in data compression techniques.
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