A security system is designed to switch on a powerful floodlight when movement is detected, or a panix button is pressed. The system should operate only when it is dark. The specifications for the three input subsystems are given below: Light Sensor A Dark = Logic 0 Light Movement Sensor B Movement = Logic 1 Sensor Panic Button C Pressed = Logic 1 Movement Logic System Sensor Panic Button a) Complete the truth table for the logic system such that Q=Logic 1 when the floodlight is on. Panic Button (C) Movement Sensor (B) Light Sensor (A) Output (Q) 1 1 1 1 1 1 1 1 1 b) Write down the Boolean expression for Q and draw the logical diagram of the final output, Q.