A synchronous sequential circuit has one input and one output. If the input sequence 0101 or 0110 occurs, an output of two successive 1s will occur. The first of these 1 s should occur coincident with the last input of the 0101 or 0110 sequence. The circuit should reset when the second 1 output occurs. For example, input sequence: X=010011101010101101 output sequence: Z=000000000011000011 a) Derive a Mealy state graph and table with a minimum number of states (six states). b) Try to choose a good state assignment. Realize the circuit using J-K flip-flops and NAND gates. Repeat using NOR gates. c) Check your answer to (b) using the LogicAid program. Also use the program to nd the NAND solution for two other state assignments