A power station has a safety system controlled by a logic circuit. Three inputs to the logic circuit determine whether the output, S, is 1. When S= 1, the power station shuts down. The following table describes the conditions being monitored. Parameter Description Gas Temperature Water Temperature Reactor Pressure . . Parameter Binary Value OR • OR G Output S will generate a value of 1 if: EITHER R W 0 1 0 1 0 gas temperature > 160°C AND water temperature ≤ 120°C gas temperature ≤ 160°C AND reactor pressure > 10 bar water temperature > 120°C AND reactor pressure > 10 bar. (a) Produce a logic circuit and complete a truth table to represent the scenario. 1 Description of Condition gas temperature ≤ 160°C gas temperature > 160°C reactor pressure ≤ 10 bar reactor pressure > 10 bar water temperature ≤ 120°C water temperature > 120°C (b) Write down the Boolean expression to represent the logic circuit you drew up. (c) Simplify the Boolean expression using the Boolean algebra rules. NOTE: You may use the Karnaugh Map to check your answer.
A power station has a safety system controlled by a logic circuit. Three inputs to the logic circuit determine whether the output, S, is 1. When S= 1, the power station shuts down. The following table describes the conditions being monitored. Parameter Description Gas Temperature Water Temperature Reactor Pressure . . Parameter Binary Value OR • OR G Output S will generate a value of 1 if: EITHER R W 0 1 0 1 0 gas temperature > 160°C AND water temperature ≤ 120°C gas temperature ≤ 160°C AND reactor pressure > 10 bar water temperature > 120°C AND reactor pressure > 10 bar. (a) Produce a logic circuit and complete a truth table to represent the scenario. 1 Description of Condition gas temperature ≤ 160°C gas temperature > 160°C reactor pressure ≤ 10 bar reactor pressure > 10 bar water temperature ≤ 120°C water temperature > 120°C (b) Write down the Boolean expression to represent the logic circuit you drew up. (c) Simplify the Boolean expression using the Boolean algebra rules. NOTE: You may use the Karnaugh Map to check your answer.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Please double check the circuit in a simulation because previous answers are always wrong. I will like.
Transcribed Image Text:A power station has a safety system controlled by a logic circuit. Three inputs to the logic
circuit determine whether the output, S, is 1. When S= 1, the power station shuts down.
The following table describes the conditions being monitored.
Parameter Description Parameter Binary Value
Gas Temperature
Reactor Pressure
Water Temperature
G
.
R
W
Output S will generate a value of 1 if:
● EITHER
• OR
OR
0
1
0
1
0
Description of Condition
gas temperature ≤ 160°C
gas temperature > 160°C
reactor pressure ≤ 10 bar
reactor pressure > 10 bar
water temperature ≤ 120°C
water temperature > 120°C
gas temperature > 160°C AND water temperature ≤ 120°C
gas temperature ≤ 160°C AND reactor pressure > 10 bar
water temperature > 120°C AND reactor pressure > 10 bar.
(a) Produce a logic circuit and complete a truth table to represent the scenario.
(b) Write down the Boolean expression to represent the logic circuit you drew up.
(c) Simplify the Boolean expression using the Boolean algebra rules.
NOTE: You may use the Karnaugh Map to check your answer.
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