After years of dealing with the extremely slow elevator in the ist building, a new and improved one was finally installed. as a recent grad of cmpen 270, you are called upon to design the controller for the new elevator. the inputs (x, y) for this controller are designated as follows: xy 00 01 10 11 operation no request (stay on the same floor) move to first floor move to second floor move to third floor because this new elevator is super-fast, it can travel to any floor in a single clock cycle. for example, the floor 1 state can go directly to floor 2 or floor 3. an indicator light (call this output ) is on (z - 1) to remind people to enjoy the view because they are presently on the top (third floor) and off (z = 0) for all the other floors. a. is this state machine best implemented as a mealy or moore machine? explain your reasoning. b. assume that each state corresponds to a different floor. draw the state machine diagram that describes the operation of the elevator controller. provide the state transition table corresponding to this state machine diagram c. design the sequential circuit using d-flip flops and draw the circuit