GATE CSE 2014 Set 2 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2014 Set 2

MCQ (Single Correct Answer)

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Let $$k = {2^n}.$$ A circuit is built by giving the output of an ݊$$n$$-bit binary counter as input to an $$n$$-to-$${2^n}$$ bit decoder. This circuit is equivalent to a

$$k$$-bit binary up counter.

$$k$$-bit binary down counter.

$$k$$-bit ring counter.

$$k$$-bit Johnson counter.

GATE CSE 2014 Set 2

Numerical

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Each of the nine words in the sentence "The Quick brown fox jumps over the lazy dog" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is ______________. (Then answer should be rounded to one decimal place.)

Your input ____

GATE CSE 2014 Set 2

Numerical

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The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is _______________

Your input ____

GATE CSE 2014 Set 2

MCQ (Single Correct Answer)

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Which one of the following Boolean expressions is NOT A tautology?

$$\left( {\left( {a \to b} \right) \wedge \left( {b \to c} \right)} \right) \to \left( {a \to c} \right)$$

$$\left( {a \leftrightarrow c} \right) \to \left( { \sim b \to \left( {a \wedge c} \right)} \right)$$

$$\left( {a \wedge b \wedge c} \right) \to \left( {c \vee a} \right)$$

$$A \to \left( {b \to a} \right)$$

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