Construct a MOORE state diagram for the elevator controller.

The system has $4$ inputs and $4$ outputs.

First floor $$ It represents a button located inside the elevator or on the first floor that signals a request to send the elevator to the first floor, from any floor.

Second floor $-$ It represents a button located inside the elevator or on the second floor that signals a request to send the elevator to the second floor, from any floor.

Third floor $-$ It represents a button located inside the elevator or on the third floor that signals a request to send the elevator to the third floor, from any floor.

Door blocked $$ It represents the output of a sensor that detects that an object is in the door$$s way while the door is closing.

Outputs Location $3$ LEDs indicate the floor at which the elevator is located. Each LED will correspond to a floor.

Outputs Location $3$ LEDs indicate the floor at which the elevator is located. Each LED will correspond to a floor.

Details about the design $$ System states indicate conditions such as elevator is at $1$st floor and door is open. $$ The elevator should remain at rest until someone presses a button. The door is closed in a rest state. $$ If someone presses the first$-$floor button, then the elevator should go to the $1$st floor, open the door and remain on this floor with the door open for a small amount of time, then close the door. Assume the elevator takes one clock cycle to travel from one floor to an adjacent floor and that the door stays open for two clock cycles. $$ The same behavior will apply to the other floors$$ input buttons. $$ The elevator has a safety feature associated with the doors. If the door is closing and a sensor detects that an object is in the door$$s way, then the door remains in the open position. $$ Other behaviors for the elevator should be reasonable.