Let £ = {0,1} and we represent Boolean AND, OR and NOT operations by aj. aj, a¡ + aj and āj respectively. Consider the following Boolean function f:E4 → £ defined by f(a1, a2, az, a4) = a1. āz + āz. A4 .) Construct an NFA recognizing the language {a,a2xaza4|x € £*, ƒ(a1,a2, a3, a4) = 1} .) Construct an NFA recognizing the language {xa,a4azaz|x € £*, ƒ(a1, a2, a3, a4) = 1} c.) Convert the NFA obtained in (a.) to equivalent DFA. II

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Construct an NFA recognizing the language 

Let E = {0,1} and we represent Boolean AND, OR and NOT operations by aj.aj, ai + a; and āj,
respectively. Consider the following Boolean function f:E4 → E defined by
f(a1, a2, a3, a4) = a1. āz + āz. a4
a.) Construct an NFA recognizing the language {a,a2xaza4|x € E*, ƒ (a,, a2, a3, a4) = 1}
o.) Construct an NFA recognizing the language {xa, a,azaz|x € E*, ƒ(a,, a2, a3, a4) = 1}
%3D
c.) Convert the NFA obtained in (a.) to equivalent DFA.
Transcribed Image Text:Let E = {0,1} and we represent Boolean AND, OR and NOT operations by aj.aj, ai + a; and āj, respectively. Consider the following Boolean function f:E4 → E defined by f(a1, a2, a3, a4) = a1. āz + āz. a4 a.) Construct an NFA recognizing the language {a,a2xaza4|x € E*, ƒ (a,, a2, a3, a4) = 1} o.) Construct an NFA recognizing the language {xa, a,azaz|x € E*, ƒ(a,, a2, a3, a4) = 1} %3D c.) Convert the NFA obtained in (a.) to equivalent DFA.
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