Problem

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

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

Si, i = 0, 1, 2, 3, 4, 5 : signals from six sensor sets (0 = intrusion detected, 1 = no intrusion detected)

M: master switch (0 = security system enabled, 1 = security system disabled)

A: alarm switch (0 = alarm disabled, 1 = alarm enabled)

L: light switch (0 = lights disabled, 1 = lights enabled)

P: police switch (0 = police call disabled, 1 = police call enabled)

Outputs

A: alarm (0 = alarm on, 1 = alarm off)

L: lights (0 = lights on, 1 = lights off)

V: video cameras (0 = video cameras off, 1 = video cameras on)

C: call to police (0 = call off, 1 = call on)

Operation

If one or more of the sets of sensors detect an intrusion and the security system is enabled, then outputs activate based on the outputs of the remaining switches. Otherwise, all outputs are disabled.

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