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You have been hired to design a control system for a nuclear reactor. The system monitors the temperature of the reactor using sensors at two points, A & C. If the temperature at either of these points rises past a certain level the sensor will toggle high. A sudden blackout would be disruptive so an override lever, B, is installed to keep the plant running when one of the sensors are tripped until a maintenance team can come in. If both sensors trip, the plant will shut down regardless of the override lever. Assume that the output - a plant shutdown - is represented as a logic
Assume that it takes only one sensor to toggle high for the plant shutdown if the override lever is not activated. Assume B=1 indicates the override lever has been activated.
Construct the truth table for the control system.

Answer :

Solution :

B       A       C                     Shutdown (V)

0       0        0                        0

0       0        1                         0

0       1         0                        0

0       1         1                         1

1       0         0                        0

1       0         1                        1

1       1          0                       1

1       1          1                        1

[tex]$Y = A + A\bar B \bar C+\bar A \bar B C$[/tex]

[tex]$Y = \bar B A C + BAC+ \bar B A \bar C + \bar B \bar A C$[/tex]

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