GATE CSE 2007 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2007

MCQ (Single Correct Answer)

-0.3

How many $$3$$ to $$8$$ decodes with an enable input are needed to construct to constant $$6$$ to $$64$$ line decoder without using any other logic gates

$$7$$

$$8$$

$$9$$

$$10$$

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 2007

MCQ (Single Correct Answer)

-0.6

The control signal functions of a $$4$$-bit binary counter are given below $$($$where $$X$$ “don’t care”$$):$$ GATE CSE 2007 Digital Logic - Sequential Circuits Question 18 English 1

GATE CSE 2007 Digital Logic - Sequential Circuits Question 18 English 1

The counter is connected as follows:

GATE CSE 2007 Digital Logic - Sequential Circuits Question 18 English 2

Assume that the counter and gate delays are negligible. If the counter starts at $$0,$$ then it cycles through the following sequence:

$$0, 3, 4$$

$$0, 3, 4, 5$$

$$0, 1, 2, 3, 4$$

$$0, 1, 2, 3, 4, 5$$

GATE CSE 2007

MCQ (Single Correct Answer)

-0.3

Suppose there are two coins. The first coin gives heads with probability 5/8 when tossed, while the second coin gives heads with probability 1/4. On e of the two coins is picked up at random with equal probability and tossed. What is the probability of obtaining heads?

7/8

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$

7/16

5/32

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