UGC NET CSE | June 2011 | Part 2 | Question: 7

Question

$(A+B) \bar{AB}$ is equivalent to

• A. $A \bigoplus B$
• B. $A \bigodot B$
• C. $(A \bigoplus B) \bigodot  A$ 
• D. $(A \bigodot B) \bigoplus  A$

Comments

If (A+B) (AB)' is question then

= (A+B) (A'+B')

=A'B+AB'

= A x-or B

So Option A is Ans

Answer 1

Considering this as question

(A+B)A'B
=A'B

Option A & B are not equivalent to A'B

C & D both giving solution B'

So no option is matching here.

Plz correct me.

Comments

no option matching

Answer 2

The boolean expression can be written as:

$(A+B).\overline{(AB)}$

$\ = (A+B).(\bar A+\bar B)$

$\ = (A.\bar A+A.\bar B+\bar AB+B.\bar B)$

$\because (x.\bar x=0)$

$\therefore(\bar AB+A\bar B \equiv (A\oplus B) )$

So Option $(A)$ is correct.