2. Design a Finite State Machine for an elevator with 3 floors (1, 2, 3). There are only two buttons: UP and DOWN. Pressing UP moves up 1 floor, pressing DOWN moves down 1 floor. The output of the FSM should be the current floor (sent to an LCD display inside the elevator). Draw the State Diagram, the Truth Tables and find the Boolean Equations. You do not need to draw the circuit.

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