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Use the construction given in $\text{Theorem 1.39}$ to convert the following two non-deterministic finite automata to equivalent deterministic finite automata.

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a)

  a b

1

2

1,2

-

2

1

 

DFA transition table

  a b

1

[12]

2

Ф

[12]

[12]

Ф

Ф

2

[12]

1

Ф

 

in the DFA initial state is 1 and final states are 1 and [12]

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