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Prove that NAND and NOR gates are Universal gates
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NAND Gate

The truth table and symbol of the NAND gate is as shown below. The two inputs are A and B.

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NAND Gate as NOT Gate

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NAND Gate as OR Gate

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NAND Gate as AND Gate

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NOR Gate

The truth table and symbol of the NOR gate is as shown below.

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NOR Gate as NOT Gate

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NOR Gate as OR Gate

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NOR Gate as AND Gate

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The above diagrams makes it clear that the combination of NAND and NOR Gates can result into any of the basic gates (AND, OR and NOT Gates). Hence, NAND and NOR Gates are called as Universal Gates.

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