   Chapter 12.2, Problem 26ES ### 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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# In each of 20—28, (a) design an automaton with the given input alphabet that accepts the given set of strings, and (b) find a regular expression that defines the language accepted by the automaton.26. Input alphabet = { 0 ,   1 } ; Accepts the set of all strings that contain exactly two b’s.

To determine

(a)

To design an automaton with the given input alphabet that accepts the given set of strings.

Explanation

Given information:

Input alphabet ={a,b} ; Accepts the set of all strings that contain exactly two b’s

Calculation:

Given:

Input alphabet ={a,b}

Accepts all strings that contain exactly two b’s

Let us design an automaton with 4 states s0,s1,s2 and s3 where s0 is the initial state and s2 is the accepting state.

s0= Input contains no b'ss1= Input contains exactly 1 bs2= Input contains exactly 2 b'ss3= Input contains 3 or more b's<

To determine

(b)

A regular expression that defines the language accepted by the automaton.

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