$(5$ pts$)$ You are asked to build a digital logic circuit for a security alarm system. The system has

four Motion Sensors which indicate the presence of an intruder. Each individual motion sensor

should be able to trigger an alarm. The system should be completely disabled via a Master

Switch. In addition, the siren, the flashlight and the automated call to the security company

should have separate enable switches. The inputs and outputs are specified as follows:

Inputs: $S_1,S_2,S_3,S_4$ : Motion Sensors no intrusion detected, $1=$ intrusion detected