GATE CSE 1999 | GATE CSE Year Wise Previous Years Questions

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GATE CSE 1999

MCQ (More than One Correct Answer)

-0.6

Which of the following sets of component(s) is/are sufficient to implement any arbitrary Boolean function?

$$XOR$$ gates, $$NOT$$ gates

$$2$$ to $$1$$ multiplexers

$$AND$$ gates, $$XOR$$ gates

Three-input gates that output $$(A.B) + C$$ for the inputs $$A. B$$ and $$C.$$

GATE CSE 1999

MCQ (Single Correct Answer)

-0.3

Which of the following functions implements the Karnaugh map shown below? GATE CSE 1999 Digital Logic - K Maps Question 3 English

$$\overline A B + CD$$

$$D\left( {C + A} \right)$$

$$AD + \overline A B$$

$$(C + D)(\overline C + D)(A + B)$$

GATE CSE 1999

MCQ (Single Correct Answer)

-0.3

Suppose that the expectation of a random variable X is 5. Which of the following statements is true?

There is a sample point at which X has the value 5.

There is a sample point at which X has the value greater than 5.

There is a sample point at which X has a value greater than or equal to 5.

None of the above.

GATE CSE 1999

MCQ (Single Correct Answer)

-0.6

Let X and Y be two exponentially distributed and independent random variables with mean $$\alpha $$ and $$\beta $$, respectively. If Z = min (X, Y), then the mean of Z is given by

$${1 \over {\alpha + \beta }}$$

$$\min \,(\alpha ,\,\beta )$$

$${{\alpha \,\beta } \over {\alpha + \beta }}$$

$${\alpha + \beta }$$

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