Design a synchronous sequential circuit with one input x and one output y. The input x is

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Design a synchronous sequential circuit with one input x and one output y. The input x is a serial message, and the system reads x one bit at a time. The output y is 1 whenever the binary pattern 000 is encountered in the serial message. For example: If the input is 01000000, then the output will be 00001010. Use T flip-flops.

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