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UTK Notes


2.13.2024

Question 1: Consider the 4-state NFA given below and assume $E$ represents an $\epsilon$ (epsilon) transition, State 3 is the start state and State 4 is the accept state. Which of the following represents the start state of the equivalent DFA? $\Sigma = \{a,b\}$.

NFA.jpg

(3 points)

A. $\{3\}$
B. $\{2,3\}$
C. $\{2,3,4\}$
D. None of the above.

Answer A. $\{3\}$

Question 2: Consider the 4-state NFA given below and assume $E$ represents an $\epsilon$ (epsilon) transition, State 3 is the start state and State 4 is the accept state. Which of the following is the state transitioned to from state $\{1,4\}$ upon reading an “a” from the input word in the equivalent DFA? $\Sigma = \{a,b\}$.

NFA.jpg

(3 points)

A. $\{3\}$
B. $\{1,3\}$
C. $\{1,2,3\}$
D. None of the above.

Answer B. $\{1,3\}$

Question 3: Consider the 4-state NFA given below and assume $E$ represents an $\epsilon$ (epsilon) transition, State 3 is the start state and State 4 is the accept state. Which of the following is the state transitioned to from state $\{4\}$ upon reading a “b” from the input word in the equivalent DFA? $\Sigma = \{a,b\}$.

NFA.jpg

(3 points)

A. $\{2\}$
B. $\{1,2\}$
C. $\{1,2,3\}$
D. None of the above.

Answer C. $\{1,2,3\}$

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