Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
For each of the following languages over the alphabet {0,1}, construct a DFA that recognizes it. a) L1 = {w |w contains substring 0111}. b) L2 = {w |w contains at least two Oʻs and at most one 1's}. c) L3 = {w |w does not contain substring 110}. d) L4 = {w|w has an equal number of occurrences of 01 and 10 as substrings}. For example, 101 e L4 because 101 contains a single 01 and a single 10, but 1010 € L4 because 1010 contains two 10's and only one 01. Note that, in strings e,0 and 1, there are zero 01's and zero 10's. e) L5 = {w |w is the binary representation of a multiple of 3}. For example, 11 e Lg because 11 is the binary representation of 3, but 111 € Lg because 111 is the binary representation of 7. Note that, e € L5.

For each of the following languages over the alphabet {0,1}, construct a DFA that recognizes it. a) L1 = {w |w contains substring 0111}. b) L2 = {w |w contains at least two Oʻs and at most one 1's}. c) L3 = {w |w does not contain substring 110}. d) L4 = {w|w has an equal number of occurrences of 01 and 10 as substrings}. For example, 101 e L4 because 101 contains a single 01 and a single 10, but 1010 € L4 because 1010 contains two 10's and only one 01. Note that, in strings e,0 and 1, there are zero 01's and zero 10's. e) L5 = {w |w is the binary representation of a multiple of 3}. For example, 11 e Lg because 11 is the binary representation of 3, but 111 € Lg because 111 is the binary representation of 7. Note that, e € L5.

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
See similar textbooks
icon
Related questions
Question

Can I get a solution for these questions?

1. For each of the following languages over the alphabet {0,1}, construct a DFA that recognizes it. a) L1 = {w |w contains substring 0111}. b) L2 = {w |w contains at least two O's and at most one 1's}. c) L3 = {w|w does not contain substring 110}. d) L4 = {w |w has an equal number of occurrences of 01 and 10 as substrings}. For example, 101 e L4 because 101 contains a single 01 and a single 10, but 1010 ¢ L4 because 1010 contains two 10's and only one 01. Note that, in strings e, 0 and 1, there are zero 01's and zero 10's. e) Ls = {w |w is the binary representation of a multiple of 3}. For example, 11 € Lg because 11 is the binary representation of 3, but 111 ¢ Lg because 111 is the binary representation of 7. Note that, e ¢ Lg. %3D
Transcribed Image Text:1. For each of the following languages over the alphabet {0,1}, construct a DFA that recognizes it. a) L1 = {w |w contains substring 0111}. b) L2 = {w |w contains at least two O's and at most one 1's}. c) L3 = {w|w does not contain substring 110}. d) L4 = {w |w has an equal number of occurrences of 01 and 10 as substrings}. For example, 101 e L4 because 101 contains a single 01 and a single 10, but 1010 ¢ L4 because 1010 contains two 10's and only one 01. Note that, in strings e, 0 and 1, there are zero 01's and zero 10's. e) Ls = {w |w is the binary representation of a multiple of 3}. For example, 11 € Lg because 11 is the binary representation of 3, but 111 ¢ Lg because 111 is the binary representation of 7. Note that, e ¢ Lg. %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Bare Bones Programming Language
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS