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6. The following DFA table TD is constructed from the NFA table TN. What is the

ID: 3929288 • Letter: 6

Question

6. The following DFA table TD is constructed from the NFA table TN. What is the missing entry in TD?

TD

a

b

S {0, 1}

{2}

?

F {0, 1, 2}

{2}

{0, 1, 2}

F {2}

{2}

TN

a

b

Start 0

{1, 2}

{1}

1

{2}

{0}

Final 2

{2}

A.

{2}

B.

Ø

C.

{0, 1, 2}

D.

{0, 1}

8. Given the following NFA, what is the -closure of state 0?

a

b

Start 0

{1, 2}

{1}

1

{2}

{0}

Final 2

{2}

{1}

A.

{1}

B.

{0, 1}

C.

{0, 1, 2}

D.

{0}

9. Given the following NFA, what is ({0, 1})?

a

b

Start 0

{1, 2}

{1}

1

{2}

{0}

Final 2

{2}

{1}

A.

{0}

B.

{0, 1}

C.

{0, 1, 2}

D.

{1}

12. Given the following DFA, what is set E0 for transforming the DFA to minimum state DFA?

a

b

Start 0

1

2

Final 1

3

1

Final 2

3

2

3

3

3

A.

{{0, 1}, {0, 2}, {1, 2}}

B.

{{0, 1}, {2, 3}}

C.

{{0, 1}, {0, 2}, {0, 3}, {1, 2}, {1, 3}, {2, 3}}

D.

{{0, 3}, {1, 2}}

TD

a

b

S {0, 1}

{2}

?

F {0, 1, 2}

{2}

{0, 1, 2}

F {2}

{2}

Explanation / Answer

6. B. Ø

8. B. {0,1}

9. B. {0,1}

12. C. {{0, 1}, {0, 2}, {0, 3}, {1, 2}, {1, 3}, {2, 3}}

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