GATE CSE 2016 Set 1 | Combinational Circuits Question 4 | Digital Logic

GATE CSE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

Consider the two cascaded $$2$$-to-$$1$$ multiplexers as shown in the figure. GATE CSE 2016 Set 1 Digital Logic - Combinational Circuits Question 4 English

The minimal sum of products form of the output $$X$$ is

$$\overline P \overline Q + PQR$$

$$\overline P Q + QR$$

$$PQ + \overline P \overline Q R$$

$$\overline Q \overline R + PQR$$

GATE CSE 2014 Set 1

MCQ (Single Correct Answer)

-0.6

Consider the $$4$$-to-$$1$$ multiplexer with two select lines $${S_1}$$ and $${S_0}$$ given below GATE CSE 2014 Set 1 Digital Logic - Combinational Circuits Question 5 English

GATE CSE 2014 Set 1 Digital Logic - Combinational Circuits Question 5 English

The minimal sum-of-products form of the Boolean expression for the output $$F$$ of the multiplexer is

$$\overline P Q + Q\overline R + P\overline Q R$$

$$\overline P Q + \overline P Q\overline R + PQ\overline R + P\overline Q R$$

$$\overline P QR + \overline P Q\overline R + Q\overline R + P\overline Q R$$

$$PQ\overline R $$

GATE CSE 2007

MCQ (Single Correct Answer)

-0.6

Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of $$n$$ variables. What is the minimum size of the multiplexer needed?

$${2^n}$$ line to $$1$$ line

$${2^{n + 1}}$$ line to $$1$$ line

$${2^{n - 1}}$$ line to $$1$$ line

$${2^{n - 2}}$$ line to $$1$$ line

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

Consider the circuit above. Which one of the following options correctly represents $$f(x,y,z)?$$ GATE CSE 2006 Digital Logic - Combinational Circuits Question 6 English