The output Y of the logic circuit shown in figure is best represented as

Question

The output Y of the logic circuit shown in figure is best represented as (A)  overlineA + overlineB.C (B) A + overlineB.C  (C)  overlineA + B. C  (D)  overlineA + overlineB .C

Tardigrade Admin · Accepted Answer

At logic gate-l, the Boolean expression is barB ⋅ C=Y' At logic gate-II, the Boolean expression is A+( barB ⋅ barC)=Y'' At logic gate-III, the Boolean expression is overlineA+ barB ⋅ C=Y

Q. The output $Y$ of the logic circuit shown in figure is best represented as

$\overline{A} + \overline{B . C}$

$A + \overline{B} . C$

$\overline{A + B . C}$

$\overline{A + \overline{B} . C}$

At logic gate-l, the Boolean expression is
$\overset{ˉ}{B} \cdot C = Y^{'}$
At logic gate-II, the Boolean expression is
$A + (\overset{ˉ}{B} \cdot \overset{ˉ}{C}) = Y^{''}$
At logic gate-III, the Boolean expression is
$\overline{A + \overset{ˉ}{B} \cdot C} = Y$

Q. The output Y of the logic circuit shown in figure is best represented as

A+B.C