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
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
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Can I get a solution for these questions?

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
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