A bank wants to install an alarm system with 3 movement sensors. To prevent false alarms produced by a single sensor activation, the alarm will be triggered only when at least two sensors activate simultaneously. Implement a circuit that will achieve this result, as a combinational circuit to support the 3 inputs and one output. The output (triggering an alarm) will be 1 anytime two or more of the inputs is 1, and the output will be 0 at all other times. (a) Show the truth table for this circuit. (b) Use a Karnaugh Map to minimize this circuit and show ALL of your work. (c) Use the Cedar Logic software to illustrate the inputs, outputs and gates required to implement the minimized circuit identified in (b) above.