The logic circuit shown in the figure represents characteristic of which logic gate?

OR gate

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NOR gate

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AND gate

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NAND gate

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Solution

The correct option is D NAND gate
$C = A^{'} + B^{'}$
By De-Morgan's theorem,
$(A B)^{'} = A^{'} + B^{'} ∴ C = (A B)^{'}$
Therefore, NAND gate.

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The logic circuit shown in the figure represents characteristic of which logic gate?

The correct option is D NAND gateC=A′+B′By De-Morgan's theorem,(AB)′=A′+B′∴C=(AB)′Therefore, NAND gate.

The correct option is D NAND gate
$C = A^{'} + B^{'}$
By De-Morgan's theorem,
$(A B)^{'} = A^{'} + B^{'} ∴ C = (A B)^{'}$
Therefore, NAND gate.