a) A Mealy sequential circuit has one input X and one output Z. The outputs is high if and only if the most recent input, combined with the preceding three inputs represent the decimal powers of 2 (X= 210, 410, 810). Note that 010 is not included. Assume the most significant bits are received first. Derive a state table for the circuit. Reduce the state table if possible. b) Repeat part (a) for a Moore sequential circuit. Use at most 11 states.