Question: I need help building a deterministic Finite state machine(DFSM) for this given language (2) (w e (o, 1)*: w corresponds to the binary encoding, without

I need help building a deterministic Finite state machine(DFSM) for this given language

(2) (w e (o, 1)*: w corresponds to the binary encoding, without leading O's, of natural numbers that are powers of 4) Testing strings:e, 0,1,01, 10, 11, 100, 101, 1000, 1010, 10000

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