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)  barA+ overlineB⋅ C (B) A+ barB⋅ C (C)  overlineA+B⋅ C (D)  overlineA+ barB⋅ C

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/3724347d5ee1433e4d60a89a21ed6200-.png" /> At logic gate I, the Boolean expression is bar B ⋅ C = Y' At logic gate II, the Boolean expression is A + ( barB ⋅ C) = 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

$\overset{ˉ}{A} + \overline{B \cdot C}$

$A + \overset{ˉ}{B} \cdot C$

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

$\overline{A + \overset{ˉ}{B} \cdot C}$

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

Aˉ+B⋅C

A+Bˉ⋅C

A+B⋅C​

A+Bˉ⋅C​