   Chapter 7.1, Problem 28ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Consider the coding and decoding functions E and D definedin Example 7.1.9. Find E(0110) and D(111111000111). Find E(1010) and D(000000111111).

To determine

(a)

Find E(0110) and D(111111000111).

Explanation

Given information:

The objective is to find E(0110) and D(111111000111)

Concept used:

Consider A be the set of all strings of 0's and 1's and T be the set of all strings of 0's and 1's that consists of consecutive triples of identical bits.

Define the encoding function E(s) .For each string, sA as the string obtained from s by replacing each bit of s by the same bit written three times.

Define the decoding function D(s) for each string tT as the string obtained from t by replacing each consecutive triple of three identical bits of t by a single copy of that bit

To determine

(b)

Find E(1010) and D(000000111111).

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