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design a finite state machine ( FSM ) to detect the sequence 0 0 1 0 0 in a bit stream. The output should be

design a finite state machine (FSM) to detect the sequence 00100 in a bit stream. The output should be a single bit that goes high (1) whenever the sequence has been detected. Note that the input 00100100 should result in two detections.Note however, that it does not consider overlapping sequences. make sure you use the minimum states you can. this is i have done, can you do it in 4 states?
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