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how many Dfa's exists with two states over input alphabet {0,1}?

a) 16

b) 26

c) 32

d) 64

1 Answer

2 votes
2 votes

64

state 1 - may act as final/initial  2

state 2 - may act as final/initial  2

each state - on input 0 can have 2 transitions  and on input 1  can have 2 transitions  = 2*2*2*2 = 16

=  2*2*16 

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