The output Y of the logic circuit given below is,

Question

The output Y of the logic circuit given below is, (A)  barA+B (B)  barA (C) ( overline barA+B). barA (D) ( overline barA+B).A

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/10f8e3028a6f69f94cf7eebb990301c6-.png" /> By absorption laws Y= barA+ barA ⋅ B or Y=( barA ⋅ B)+ barA= barA ⋅(B+1)= barA ⋅ 1= barA

Q. The output $Y$ of the logic circuit given below is,

$\overset{ˉ}{A} + B$

$\overset{ˉ}{A}$

$(\overline{\overset{ˉ}{A} + B}) . \overset{ˉ}{A}$

$(\overline{\overset{ˉ}{A} + B}) . A$

By absorption laws
$Y = \overset{ˉ}{A} + \overset{ˉ}{A} \cdot B$
or $Y = (\overset{ˉ}{A} \cdot B) + \overset{ˉ}{A} = \overset{ˉ}{A} \cdot (B + 1) = \overset{ˉ}{A} \cdot 1 = \overset{ˉ}{A}$

Q. The output Y of the logic circuit given below is,

Aˉ+B

Aˉ

(Aˉ+B​).Aˉ

(Aˉ+B​).A