Question: A home security system has a master switch that is used to enable an alarm, video cameras, and a call to local police in the
A home security system has a master switch that is used to enable an alarm, 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, and the call to local police. The inputs, outputs, and operation of the enabling logic are specified as follows: S: signal from any of the six sensor sets (0 = intrusion detected, 1 = no intrusion detected) M: master switch (0 = security system enabled. 1 = security system disabled) Ai: alarm switch (0 = alarm disabled, 1 = alarm enabled) P: police switch (0 = police call disabled, 1 = police call enabled) alarm (0 = alarm on, 1 = alarm off) video cameras (0 = video cameras off, 1 = video cameras on) call to police (0 = call off, 1 = call on) becomes active when S detects an intrusion, Ai is enabled and M is also enabled becomes active when S detects an intrusion, and M is enabled becomes active when S detects an intrusion, P is enabled and M is also enabled minimum-gate-input cost realization of the enabling logic using AND gates and inverters. A home security system has a master switch that is used to enable an alarm, 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, and the call to local police. The inputs, outputs, and operation of the enabling logic are specified as follows: S: signal from any of the six sensor sets (0 = intrusion detected, 1 = no intrusion detected) M: master switch (0 = security system enabled. 1 = security system disabled) Ai: alarm switch (0 = alarm disabled, 1 = alarm enabled) P: police switch (0 = police call disabled, 1 = police call enabled) alarm (0 = alarm on, 1 = alarm off) video cameras (0 = video cameras off, 1 = video cameras on) call to police (0 = call off, 1 = call on) becomes active when S detects an intrusion, Ai is enabled and M is also enabled becomes active when S detects an intrusion, and M is enabled becomes active when S detects an intrusion, P is enabled and M is also enabled minimum-gate-input cost realization of the enabling logic using AND gates and inverters
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