Design an FSM with one input, A, and two outputs, X and Y. X should be 1

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Design an FSM with one input, A, and two outputs, X and Y. X should be 1 if A has been 1 for at least three cycles altogether (not necessarily consecutively). Y should be 1 if A has been 1 for at least two consecutive cycles. Show your state transition diagram, encoded state transition table, next state and output equations, and schematic.

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