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THE MINIMAL FINITE AUTOMATA THE STRING IN R=0*1*______STATES.
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it should be $3$ states

Minimum state is 3
edited
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should be $3$ states
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show the DFA.
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see above ..commented in question
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whenever the question is about minimal finite automata we should go with NFA, in this case it is so happened that number of states in minimal DFA and NFA both are same, but it is not the case always!
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Minimum state is 3
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Yes you are right.

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