Question 1: Which of the following regular expressions describes the language recognized by the DFA below? Note: $\Sigma = \{0, 1\}$.
(3 points)
A. $110^{*}1$
B. $1^{*}010$
C. $101^{*}0$
D. $1010^{*}$
Question 2: What is minimum pumping length for the language recognized by the DFA below? Note: $\Sigma = \{0, 1\}$.
(3 points)
A. $2$
B. $3$
C. $4$
D. $5$
Question 3: We know that the DFA below recognizes the regular language given by $101^{*}0$ for $\Sigma = \{0, 1\}$. How many additional states would be needed if we wanted to modify the DFA to recognize any string containing $101^{*}0$ as a substring?
(3 points)
A. $1$
B. $2$
C. $3$
D. none of above