Question

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

Options

• `bar"A"+bar"A".bar"C"`

• `bar"A"+bar"B"-"C"`

• `bar("A"+"B"."C")`

• `bar("A"+(bar"B"."C")`

Answer 1

The output Y of the logic circuit shown in figure is best represented as `underlinebb(bar("A"+(bar"B"."C"))`.

Explanation:

At logic gate -I, the Boolean expression is

`bar"B"."C"` = Y′

At logic gate -II, the Boolean expression is

A + `(bar"B"⋅bar"C")` = Y′′

At logic gate -III, the Boolean expression is

`bar("A"+(bar"B"."C")` = Y