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Logic Gates

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NOT Gate Also known as an inverter

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AND Gate

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OR Gate

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XOR Gate

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**What are digital circuits?**

System of logic components that model some Boolean expression Inputs Digital Circuit Output Example: ~x · y = z

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**Example – Circuit Expression**

What Boolean function does the following digital circuit model? Answer: ~x + ~y = z

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**Example – Circuit Expression**

What Boolean function does the following digital circuit model? Answer: f = xy + yz + ~xz

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

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**Example – Expression Circuit**

Draw the logic circuit that corresponds to the following Boolean expression: f = ~(xy+z)

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**Example – Expression Circuit**

Draw the logic circuit that corresponds to the following Boolean expression: f = ~(x+z)·(x+y)

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

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NAND Gate ~(xy)

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NOR GATE ~(x+y)

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Logic Gates. The Inverter The inverter (NOT circuit) performs the operation called inversion or complementation. Standard logic symbols: 1 1 input output.

Logic Gates. The Inverter The inverter (NOT circuit) performs the operation called inversion or complementation. Standard logic symbols: 1 1 input output.

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