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14. Semicondutor electronics — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics14. Semicondutor electronics1 Mark
MCQ
What will be the input of $A$ and $B$ for the Boolean expression $\overline {(A + B)} \, \cdot \,\overline {(A \cdot B)} = 1$
  • ✓
    $0, 0$
  • B
    $0, 1$
  • C
    $1, 0$
  • D
    $1, 1$
✓

Answer

Correct option: A.
$0, 0$
a
(a)The given Boolean expression can be written as
$Y = (\overline {A + B} ).(\overline {A.B} ) = (\bar A.\bar B).(\bar A + \bar B) = (\bar A\,\bar A).\bar B + \bar A(\bar B.\bar B)$
$ = \bar A.\bar B + \bar A\,\bar B = \bar A\,\bar B$
$A$ $B$ $Y$
$0$ $0$ $1$
$1$ $0$ $0$
$0$ $1$ $0$
$1$ $1$ $0$

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