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28 votes

4 states are needed...

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This a complex type question if we directly try to create a dfa.The best method is create an nfa then convert it to dfa using subset construction method :(check video )

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Minimum number of states required construct DFA where Nth bit from last is fixed is, pow(2,n);

in above example n = 2, so pow(2,2) = 4 states required

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