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Design an FSM (Moore or Mealy; I suggested you to use Moore machine) for a circuit which has a 2-bit input X and an output

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Design an FSM (Moore or Mealy; I suggested you to use Moore machine) for a circuit which has a 2-bit input X and an output Y. The output Y becomes 1 if the cumulative sum of the numbers in sequence X multiple of 3. Otherwise Y is 0. For example: X: 00 rightarrow 11 rightarrow 01 rightarrow 10 rightarrow 00 rightarrow 01 .... Y: 1 rightarrow 1 rightarrow 0 rightarrow 0 rightarrow 1 rightarrow 0

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