A home security system has a master switch that is used to enable an alarm, lights, video cameras,

and a call to local police in the event one or more of six sets of sensors detects an intrusion. In

addition there are separate switches to enable and disable the alarm, lights, and the call to local

police. The inputs, outputs, and operation of the enabling logic are specified as follows:

Inputs

$S_i,i=0,1,2,3,4,5$ : signals from six sensor sets intrusion detected, $1=$ no intrusion

detected$)$

$M$ : master switch security system enabled, $1=$ security system disabled