Question: 8. (3 pts) You are designing an elevator controller for a building with 25 floors. The controller has two inputs: UP and DOWN. It produces

8. (3 pts) You are designing an elevator controller for a

8. (3 pts) You are designing an elevator controller for a building with 25 floors. The controller has two inputs: UP and DOWN. It produces an output indicating the floor that the elevator is on. There is no floor 13. What is the minimum number of bits of state in the controller? 9. (25 pts) Given the FSM in the figure below. Assume the state encoding: S000, SI = 01 and S2-10. Show the state transition table and the output table for the FSM. Write Boolean equations (sum-of-products) for the next state and output logic. Make sure that each equation is simplified using K-maps Reset S2 Q: 0 Q: 0

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