Draw the State Transition Diagram for a 0-6 up/down counter. The counter should count up when the 'up' input is high, down when the 'down' input is high and should remain at its current state when neither input is high. When counting up, it should remain at 6 once 6 is reached. When counting down it should remain at 0 once 0 is reached. Convert the diagram of Q98 to a state transition table. How many memory elements would be required to implement the state machine of Q98. Implement this machine using JK flip-flops. Implement this machine using D-type flip-flops. Redesign the system of Q98 such that the count wraps from 6 to 0 counting up and 0 to 6 which counting down.