Question

The following circuit can acts as which logic gate?

• A. AND gate
• B. XOR gate
• C. NAND gate
• D. XNOR gate

Answer 1

The correct option is C NAND gate

$f=\overline{x}\overline{y}+\overline{x}y+x\overline{y}$
$=\overline{x}(\overline{y}+y)+x\overline{y}$
$=(\overline{x}+x\overline{y})$
$=(\overline{x}+x).(\overline{x}+\overline{y})=\overline{x}+\overline{y}=\overline{x.y}$

Thus it works as NAND gate.