ISRO2011-30

Question

In Boolean algebra, rule $\left ( \text{X + Y} \right )\left ( \text{X + Z} \right ) =$

• A. $\text{Y + XZ}$
• B. $\text{X + YZ}$
• C. $\text{XY + Z}$
• D. $\text{XZ + Y}$

Answer 1

(X+Y) (X+Z)

= X + XZ + XY + YZ

= X(1+Z+Y) +YZ

= X + YZ

Hence,Option (B)X + YZ is the correct choice.

Answer 2

Answer : B

X + YZ = (X+Y) (X+Z)

Answer 3

(X + Y)(X + Z) = X(X + Z) + Y(X + Z)

= X + YX + YZ

= X(1 + Y) +YZ

= X + YZ

hence option B is correct.