Digital system design: Consider a 1-bit slice (module) for an n-bit up/down counter There are two control inputs: T_i and dir (0 is up, 1 is down), controlling counting and direction respectively....

Digital system design: Consider a 1-bit slice (module) for an n-bit up/down counter There are two control inputs: T_i and dir (0 is up, 1 is down), controlling counting and direction respectively. Develop a design for this module, using D-FFs, NANDs, and NORs as needed. Try to minimize the number of gates in your design.