GATE EE 2018 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

Which one of the following statements is true about the digital circuit shown in the figure

Your answerChoose one option.

It can be used for dividing the input frequency by 3.

It can be used for dividing the input frequency by 5.

It can be used for dividing the input frequency by 7.

It cannot be reliably used as a frequency divider due to disjoint internal cycles.

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Digital input signals

with

as the MSB and

as the LSB are used to realize the Boolean function

, where

denotes the

minterm. In addition,

has a don’t care for

. The simplified expression for

is given by

Your answerChoose one option.

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Consider the two continuous-time signals defined below:

These signals are sampled with a sampling period of

seconds to obtain discrete-time signals

and

, respectively. Which one of the following statements is true?

Your answerChoose one option.

The energy of

is greater than the energy of

The energy of

is greater than the energy of

and

have equal energies.

Neither

nor

is a finite-energy signal.

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2018 · Paper 1