MCQ
To get output ‘$1$’ at $R$, for the given logic gate circuit the input values must be
  • A
    $X = 0, Y = 1$
  • B
    $X = 1, Y = 1$
  • $X = 1, Y = 0$
  • D
    $X = 0, Y = 0$

Answer

Correct option: C.
$X = 1, Y = 0$
c
$\mathrm{R}=\overline{\mathrm{P}+\mathrm{Q}} $ $=\overline{(\bar{x}+y)+(\overline{x\bar{y}})}$

$=\overline{(\bar{x}+y)}\cdot (x\bar{y})$

$=(x \cdot \bar{y}) \cdot(x \bar{y})$

$=x \bar{y}$

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