A count up/down counter is connected to an input Sensor (S) and an output Buzzer (B). Th counter has the following behaviour: If the Sensor is LOW, the counter will count DOWN, and the output of the Buzzer i LOW If the Sensor is HIGH, the counter will count UP, and the output of the Buzzer is HIGH It is a re-cyclic counter Design a count up/down synchronous counter of EVEN numbers from 0 to 7 using T flip-flop. a. b. Draw a complete state diagram Create a complete next state transition table Draw K-Map and produce the Boolean equations Draw complete circuit design by using any input gate c. d. Show all the workings