3-In a car security system, the siren will usually cor tu system, the siren will usually come on when it is triggered by one or more nouts. In addition there will be a master switch to turn on and off the system. Let's assume that there is a car door switch D, a vibration detector switch V, and the master switch M. We will use the convention that when the door is opened D=1, otherwise, D=0. Similarly, when the car is being shaken, V=1, otherwise, V=0. Thus, we want the siren S to co on, that is set S=1, when either D=1, or V=1, but this is only for when the system is turned on. that is M=1. When M=0 as in when we are entering the car or when we are driving, we don't want the siren to come on. Given the above description of the system, we can build a digital circuit that has the required functionality. a/ Build a truth table to precisely state the operations for the device. The table has three input columns M, D and V and an output column S. b/ Show a realization of the circuit