For this truth table A B Y 0 0 1 0 1 0 1 0 0 1 1 1 Which logic expression is correct?

Question

For this truth table A B Y 0 0 1 0 1 0 1 0 0 1 1 1 Which logic expression is correct? (A) Y= barAB+ barA B (B) Y= barA barB+A barB (C) Y= barA barB+ barA B (D) Y= barA barB+AB

Tardigrade Admin · Accepted Answer

This is Exclusive NOR gate or XNOR gate Therefore Y= overlineA B+A B

Q. For this truth table

A B Y

0 0 1

0 1 0

1 0 0

1 1 1

Which logic expression is correct?

$Y = \overset{ˉ}{A} B + \overset{ˉ}{A B}$

$Y = \overset{ˉ}{A} \overset{ˉ}{B} + A \overset{ˉ}{B}$

$Y = \overset{ˉ}{A} \overset{ˉ}{B} + \overset{ˉ}{A B}$

$Y = \overset{ˉ}{A} \overset{ˉ}{B} + A B$

This is Exclusive NOR gate or XNOR gate
Therefore $Y = \overline{A B} + A B$

Q. For this truth table A B Y 0 0 1 0 1 0 1 0 0 1 1 1 Which logic expression is correct?

Y=AˉB+ABˉ

Y=AˉBˉ+ABˉ