Question

For the following logic gates circuit, what is the correct expression for its output?

• A. $X=(B.A)+B$
• B. $X=B+\overline{(A+B)}$
• C. $X=B+\left(\overline{A\cdot B}\right)$
• D. $X=B+(A\cdot \overline{B})$

Answer 1

The correct option is C $X=B+\left(\overline{A\cdot B}\right)$

From the logic gates circuit, the input to OR gates are, output of NAND gate i.e. $\overline{A\cdot B}$ and B.

So, the required expression for output is,
$X=\left(\overline{A\cdot B}\right)+B$.

Hence, $\left(A\right)$ is the correct answer.