Given the message “ACCBCAAB*”, in which the probabilities of symbols are P(A) = 0.4, P(B) = 0.3, P(C) = 0.2, and P(*) = 0.1, a. find the compressed data using arithmetic coding with a precision of 10 binary digits. b. find the compression ratio if we use 8 bits to represent a character in the message.

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 the message “ACCBCAAB*”, in which the probabilities of symbols are P(A) = 0.4, P(B) = 0.3, P(C) = 0.2, and P(*) = 0.1,

a. find the compressed data using arithmetic coding with a precision of 10 binary digits.

b. find the compression ratio if we use 8 bits to represent a character in the message. 

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