   Chapter 12.1, Problem 41ES ### 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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# Write a regular expression to define the set of strings of 0’s and 1’s with an even number of 0’s and even number of 1’s.

To determine

Write a regular expression to define the set of strings of 0's and 1's with an even number of 0's and even number of 1s.

Explanation

Given information:

If two strings having odd number of 0's and 1's are concatenated then the

resulting string has even number of 0's and 1's, and ¡f two strings having even number of 0's and 1's

are concatenated then the resulting string still even number of 0's and 1's. The regular

Concept used:

The set of strings of 0's and 1's with an even number of 0's and even number of 1s.

Calculation:

It is required to write a regular expression to define the set of strings of 0's and 1's with an even number of 0's and even number of 1's. Before developing a regular expression it is required to consider the fact that if two strings having odd number of 0's and 1's are concatenated then the resulting string has even number of 0's and 1's, and if two strings having even number of 0's and 1's are concatenated then the resulting string still even number of 0's and 1's

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