A circuit with IN and RESET inputs and a Z output will be designed. When RESET input is Logic-0, after Logic-1 comes from IN input 2 times consecutively, Z output will be logic 1 as long as IN input is Logic-1. When IN input becomes Logic-0, output Z becomes zero and counts again from the beginning. If RESET input is Logic-1, output Z will immediately be Logic-0 independent of IN input. When RESET input passes Logic-0 through Logic-1, sequential ones from IN input are counted from the beginning.

1)In which model will the system be designed? How many situations are there in the system? Explain.

2)Create the state transition diagram and table of the system.You will implement the system using T flip-flops. Realize the necessary Next State logic circuit using Multiplexers.

3)Design the output circuit.