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Chapter - Boolean Logic Design

Chapter - Boolean Logic Design. Boolean Axioms. Example Equation. Write the ladder logic. Some logic form examples. Boolean Example. Example Description. Process Description:

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Chapter - Boolean Logic Design

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  1. Chapter - Boolean Logic Design

  2. Boolean Axioms

  3. Example Equation Write the ladder logic

  4. Some logic form examples

  5. Boolean Example

  6. Example Description • Process Description: • A heating oven with two bays can heat one ingot in each bay. When the heater is on it provides enough heat for two ingots. But, if only one ingot is present the oven may become too hot, so a fan is used to cool the oven when it passes a set temperature. • Control Description: • If the temperature is too high and there is an ingot in only one bay then turn on fan. • Define Inputs and Outputs: • B1 = bay 1 ingot present • B2 = bay 2 ingot present • F = fan • T = temperature overheat sensor

  7. The equation Simplified Ladder Logic

  8. Simplified Further Ladder Logic

  9. Circuits can be reverse engineered to Boolean equations And then to Ladder Logic

  10. Simplify the following and write ladder logic

  11. Simplify the following and write the ladder logic

  12. Simplify the following and write the ladder logic

  13. Example Case Problem: Design a controller using an equation that will turn on an output to a cylinder ‘C’ when only one of two optical sensors, ‘A’ or ‘B’, is on. The system will be disabled if an input switch ‘D’ is on. Hint: start with a truth table

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