Question: Derive the state diagram for an FSM that has an input w and an output z. The machine has to generate z = 1 when

Derive the state diagram for an FSM that has an input w and an output z. The machine has to generate z = 1 when the previous four values of w were 1001 or 1111; otherwise, z = 0. Overlapping input patterns are allowed. An example of the desired behavior is

w : 010111100110011111
z : 000000100100010011

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