It is required to design a synchronous sequential circuit that receives a serial input X that produces 1 when the input sequence is either {1001} (i....

It is required to design a synchronous sequential circuit that receives a serial input X that produces 1 when the input sequence is either {1001} (i.e., 1 followed by 0 followed by 0 followed by 1) or {0101} (i.e., 0 followed by 1 followed by 0 followed by 1) assuming overlapping sequences. Assume the existence of an asynchronous reset input to reset the machine to a reset state. The following is an example of an input/output stream: