8. We will be designing a finite state machine a three-story elevator. It is similar to the one we discussed during class, consider the elevator to move instantaneously. There are 2 buttons, the up button and the down button. There are 3 slights: 1 for first floor (orange), second floor (green), and third floor (purple). The up and down buttons do not go further at the two edges (i.e., no going down from the first floor).

How many states, inputs, and output will we need?

9-10. Draw the finite state machine.