Problem $5.(30$ pts$.)$ Design a two bits counter with one input $x.$ When $x=1$ it will count up and with $x=0$ it will count down. $[$ count up is $00,01,10,11,00,01,10,11,$ etc...$)]$ and $[$ count down is $11,10,01,00,11,10,01,00$ etc....$]$ Your design should include the state graph, transition table and realization of the circuit using $D$ type flipflop that changes state with negative edge of the clock