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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.
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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