Design a three$-$bit up$/$down counter using T flip$-$flops. It should include acontrol input called U$.$If U $=1,$ then the circuit should behave as an up$-$counter.If U$=0,$ then the circuit should behave as a down$-$counter.Note: After the counter reaches the maximum $111,$ it will goes to $000$ when itreceive an input U$=1.$ If the counter is at minimum $000$ and receives an input U$=0,$it will goes to the state $111.$