Which logic gate is represented by the following combination of logic gates?

Question

Which logic gate is represented by the following combination of logic gates? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-p5kefso9nnjuaz6s.jpg" /> (A) OR (B) NAND (C) AND (D) NOR

Tardigrade Admin · Accepted Answer

y1= overset-A, y2= overset-B y = bary1 + y2 = bar barA + barB Using De-Morgan's theorem y = bar barA + barB = A . B Truth table: A B y1 y2 y 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1

Q. Which logic gate is represented by the following combination of logic gates?

OR

NAND

AND

NOR

$y_{1} = A -, y_{2} = B -$
$y = \overset{ˉ}{y_{1} + y_{2}} = \overset{ˉ}{\overset{ˉ}{A} + \overset{ˉ}{B}}$
Using De-Morgan's theorem
$y = \overset{ˉ}{\overset{ˉ}{A} + \overset{ˉ}{B}} = A . B$
Truth table:

A B $y_{1}$ $y_{2}$ y

0 0 1 1 0

0 1 1 0 0

1 0 0 1 0

1 1 0 0 1

Q. Which logic gate is represented by the following combination of logic gates?

OR

NAND

AND

NOR

y1​=A−,y2​=B− y=y1​+y2​ˉ​=Aˉ+Bˉˉ​ Using De-Morgan's theorem y=Aˉ+Bˉˉ​=A.B Truth table: A B y1​ y2​ y 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1

$y_{1} = A -, y_{2} = B -$
$y = \overset{ˉ}{y_{1} + y_{2}} = \overset{ˉ}{\overset{ˉ}{A} + \overset{ˉ}{B}}$
Using De-Morgan's theorem
$y = \overset{ˉ}{\overset{ˉ}{A} + \overset{ˉ}{B}} = A . B$
Truth table:

A B $y_{1}$ $y_{2}$ y

0 0 1 1 0

0 1 1 0 0

1 0 0 1 0

1 1 0 0 1