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Logic Gates

Logic Gates. NOT Gate. Also known as an inverter. AND Gate. OR Gate. XOR Gate. What are digital circuits?. System of logic components that model some Boolean expression Inputs  Digital Circuit  Output Example: ~x · y = z. Example – Circuit  Expression.

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Logic Gates

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  1. Logic Gates

  2. NOT Gate • Also known as an inverter

  3. AND Gate

  4. OR Gate

  5. XOR Gate

  6. What are digital circuits? • System of logic components that model some Boolean expression • Inputs  Digital Circuit  Output • Example: ~x · y = z

  7. Example – Circuit  Expression • What Boolean function does the following digital circuit model? • Answer: ~x + ~y = z

  8. Example – Circuit  Expression • What Boolean function does the following digital circuit model? • Answer: f = xy + yz + ~xz

  9. Your Turn • What Boolean function does the following digital circuit model?

  10. Example – Expression  Circuit • Draw the logic circuit that corresponds to the following Boolean expression: f = ~(xy+z)

  11. Example – Expression  Circuit • Draw the logic circuit that corresponds to the following Boolean expression: f = ~(x+z)·(x+y)

  12. Your Turn • Draw the logic circuit that corresponds to the following Boolean expression: f = xy + ~xy + ~(yz)

  13. NAND Gate • ~(xy)

  14. NOR GATE • ~(x+y)

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