The following state diagram shows a state transition diagram for a sequential circuit with two flip-flops and two inputs. It counts up in binary when the input is 01, counts down in binary when the input is 10, and does not change state when the input is 00. An input of 11 will never occur and can be treated as a don't-care condition. Design the circuit and draw the logic diagram using the T flip-flops.

000 01 01 00 01 01 10 10 10 000 01 10 ll