GATE CSE 2014 Set 1 | GATE CSE Year Wise Previous Years Questions

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 2014 Set 1

MCQ (Single Correct Answer)

-0.3

Consider the statement
"Not all that glitters is gold"
Predicate glitters$$(x)$$ is true if $$x$$ glitters and
predicate gold$$(x)$$ is true if $$x$$ is gold.

Which one of the following logical formulae represents the above statement?

$$\forall x:\,glitters\,\left( x \right) \Rightarrow \neg gold\left( x \right)$$

$$\forall x:\,gold\left( x \right) \Rightarrow glitters\left( x \right)$$ v

$$\exists x:\,gold\left( x \right) \wedge \neg glitters\left( x \right)$$

$$\exists x:\,glitters\,\left( x \right) \wedge \neg gold\left( x \right)$$

GATE CSE 2014 Set 1

Numerical

-0

Suppose you break a stick of unit length at a point chosen uniformaly at random. Then the expected length of the shorter stick is __________________.

Your input ____

GATE CSE 2014 Set 1

Numerical

-0

Four fair six-sided dice are rolled. The probability that the sum of the results being 22 is X/1296. The value of X is__________

Your input ____

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