MCQ
In the Boolean algebra $(\overline {\bar A \cdot \bar B} ) \cdot A$ equals to
- A$\overline {A + B} $
- ✓$A$
- C$\overline {A \cdot B} $
- D$A + B$
✓
Answer
Correct option: B.
$A$
b
(b) $(\overline {\bar A \cdot \bar B} ) \cdot A = (\overline{\overline A} + \overline{\overline B} ) \cdot A = (A + B) \cdot A$
$= A \cdot A + AB = A + AB = A(1 + B) = A$
(b) $(\overline {\bar A \cdot \bar B} ) \cdot A = (\overline{\overline A} + \overline{\overline B} ) \cdot A = (A + B) \cdot A$
$= A \cdot A + AB = A + AB = A(1 + B) = A$
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