Let D = {w| w contains an even number of a’s and an odd number of b’s and does not contain the substring ab}. Give a DFA with five states that recognizes D and a regular expression that generates D. (Suggestion: Describe D more simply.)

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter7: Input/output Technology
Section: Chapter Questions
Problem 27VE
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Hi, I'm struggling with question 1.12 and could use some guidance. I find it confusing and don't know where to start. Could you assist me by providing a visual aid, possibly using circles, to enhance my comprehension of the concept? Specifically, I'm seeking assistance with  1.12. Thank you for your help.

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1.12 Let D = {w| w contains an even number of a’s and an odd number of b’s and does not contain the substring ab}. Give a DFA with five states that recognizes D and a regular expression that generates D. (Suggestion: Describe D more simply.)

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