5. (20 points) A security alarm is a system designed to detect unauthorized entry into a building or other area. Security alarms are used in residential, commercial, industrial, and military properties for protection against burglary (theft) or property damage, as well as personal protection against intruders. In this problem, you will design a very simple security alarm system that controls the security in a residence with 2 windows and one door. The Alarm must be activated based on the truth table below. (The value 1 in the input means the input sensor has detected something.) Door Window Window Alarm (W1) (W2) 0 0 0 0 0 0 0 0 0 0 0 a) Find the minimal Boolean expression (SOP) for A. b) Implement the digital circuit for the Boolean expression you found in part a using NAND gates