The following circuit can acts as which logic gate?

AND gate

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XOR gate

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NAND gate

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XNOR gate

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Solution

The correct option is C NAND gate
$f = ¯ x ¯ y + ¯ x y + x ¯ y$
$= ¯ x (¯ y + y) + x ¯ y$
$= (¯ x + x ¯ y)$
$= (¯ x + x) . (¯ x + ¯ y) = ¯ x + ¯ y = ¯ ¯¯¯¯¯¯ ¯ x . y$

Thus it works as NAND gate.

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The following circuit can acts as which logic gate?

The correct option is C NAND gatef=¯x¯y+¯xy+x¯y =¯x(¯y+y)+x¯y =(¯x+x¯y) =(¯x+x).(¯x+¯y)=¯x+¯y=¯¯¯¯¯¯¯¯x.y Thus it works as NAND gate.

The correct option is C NAND gate
$f = ¯ x ¯ y + ¯ x y + x ¯ y$
$= ¯ x (¯ y + y) + x ¯ y$
$= (¯ x + x ¯ y)$
$= (¯ x + x) . (¯ x + ¯ y) = ¯ x + ¯ y = ¯ ¯¯¯¯¯¯ ¯ x . y$

Thus it works as NAND gate.