Each of the following languages is the intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 to give the state diagram of a DFA for the language given. In all parts, Σ = {a, b}. a. {w w has at least three a's and at least two b's} Ab. {w w has exactly two a's and at least two b's} c. {w w has an even number of a's and one or two b's} Ad. {w w has an even number of a's and each a is followed by at least one b} e. {w w starts with an a and has at most one b}

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
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Can you please help me with parts E beause I am really really struggling.

Each of the following languages is the intersection of two simpler languages. In
each part, construct DFAs for the simpler languages, then combine them using the
construction discussed in footnote 3
to give the state diagram of a DFA
for the language given. In all parts, Σ = {a, b}.
a. {w w has at least three a's and at least two b's}
Ab. {w w has exactly two a's and at least two b's}
c. {w w has an even number of a's and one or two b's}
Ad. {w w has an even number of a's and each a is followed by at least one b}
e. {w w starts with an a and has at most one b}
f. {w w has an odd number of a's and ends with a b}
g. {w w has even length and an odd number of a's}
Transcribed Image Text:Each of the following languages is the intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 to give the state diagram of a DFA for the language given. In all parts, Σ = {a, b}. a. {w w has at least three a's and at least two b's} Ab. {w w has exactly two a's and at least two b's} c. {w w has an even number of a's and one or two b's} Ad. {w w has an even number of a's and each a is followed by at least one b} e. {w w starts with an a and has at most one b} f. {w w has an odd number of a's and ends with a b} g. {w w has even length and an odd number of a's}
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