Two motors, M2 and M1, are controlled by three sensors, S2, S1, and so. One motor, M2, is to run any time all three sensors are on. The other motor is to run whenever sensors S1 or SO, but not both, are on and S2 is off. For all sensor combinations where MI is on, M2 is to be off, except when all three sensors are off and then both motors must remain off. Design the controller for the motors, following the design procedure outlined below: 

a) Complete the truth table for the circuit 

b) Minimize the output functions, M2 and M1