Design a sequence detector that the system contains one input X and one output Z.The sequence detector will perform as follows:

• The circuit should forward its input to its output (i.e. X = Z) except the input sequence of X is 00110.
• If the input pattern X is 00110, the output Z will be 1 rather than 0 when the last 0 of the sequence 00110 is received, the input sequence X = 00110 gives output sequence Z = 00111.

(A) By using Mealy machine, design the state diagram for the above sequence detector sequential circuit.

(B)Based on result in (a), determine the state table for M with D Flip-flops' excitation.

(C)Determine the minimum SOP forms of the D flip-flops' input functions.

(D)Determine the minimum SOP form of the output function Z.