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: signals from six sensor sets (8 = intrusion detected from the sensors, 1 = no intrusion detected) M: master switch (e = security system enabled, 1 = security system disabled) A: alarm switch (e = 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 (e = 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 (8 = 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. a. Create a truth table b. Simplify the Boolean function using KMap c. Draw the logic diagram
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: signals from six sensor sets (8 = intrusion detected from the sensors, 1 = no intrusion detected) M: master switch (e = security system enabled, 1 = security system disabled) A: alarm switch (e = 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 (e = 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 (8 = 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. a. Create a truth table b. Simplify the Boolean function using KMap c. Draw the logic diagram
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Transcribed Image Text: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: signals from six sensor sets (8 =
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)
intrusion detected from the sensors, 1 = no intrusion detected)
Outputs:
A: alarm (e = 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 (8 = 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.
a. Create a truth table
b. Simplify the Boolean function using KMap
c. Draw the logic diagram
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