Question

Which of the circuits in figure ($a$ to $d$) is the sum-of-products implementation of figure $\left(e\right)$?

• A. $a$
• B. $b$
• C. $c$
• D. $d$

Answer 1

The correct option is D $d$

In figure $e$ , the expression of $X$ is $X=(EF+C\overline{D})AB$

$\Rightarrow X=ABC\overline{D}+ABEF$

In figure $d$ , the expression of $X$ is $X=ABC\overline{D}+ABEF$

In figure $c$ , the expression for $X$ is $X=(A+B)(E+F)(C+\overline{D})$

In figure $b$ , the expression for $X$ is $X=(A+B+E+F)(A+B+C+\overline{D})$

In figure $a$ , the expression for $X$ is $X=ABC\overline{D}EF$

Therefore the correct option is $D$