GATE ECE format:nat PYQs & Answers — Page 2

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Questions 11–20 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 2 of 24

The average bit error rate at the input of a (7, 4, 1) Hamming decoder is 0.10. The probability that the decoder will fail to decode a received word correctly is ___. (rounded off to two decimal places)

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Consider that the concentration of electrons in a semiconductor bar varies linearly from

along the x-direction. Assume that the concentration of electrons is not varying along other directions (that is along y- and z-directions). [Given: the mobility of electron is

, thermal voltage is

and electron charge is

Coulomb.] The density of electron diffusion current (in A/mm

) is ___. (rounded off to two decimal places)

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Consider the ideal diodes D1 and D2 as shown in the Figure with cut-in voltage

Volt and

in Volt. The maximum voltage (Volt) of the output

is ___. (rounded off to two decimal places)

Diagram for Electronics and Communication Engineering question 65

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The function

satisfies

where

and

denote the first and second derivatives of

, respectively.

Given

and

, the maximum value of

over

is _____ (rounded off to two decimal places).

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The generator matrix of a

binary linear block code is given below.

The minimum Hamming distance

between codewords equals _____ (answer in integer).

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All the components in the bandpass filter given below are ideal. The lower

frequency of the filter is 1 MHz.

The upper

frequency (in MHz, rounded off to the nearest integer) is ________.

Diagram for Electronics and Communication Engineering question 34

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A 4-bit weighted-resistor DAC with inputs

, and

(MSB to LSB) is designed using an ideal op amp, as shown below. The switches are closed when the corresponding input bits are logic ‘1’ and open otherwise.

When the input

changes from 1110 to 1101, the magnitude of the change in the output voltage

(in mV, rounded off to the nearest integer) is ________.

Diagram for Electronics and Communication Engineering question 35

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Two fair dice (with faces labeled 1, 2, 3, 4, 5, and 6) are rolled. Let the random variable

denote the sum of the outcomes obtained.

The expectation of

is ______ (rounded off to two decimal places).

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Consider the vectors

For real-valued scalar variable

, the value of

is __________ (rounded off to two decimal places).

denotes the Euclidean norm, i.e., for

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and

are Bernoulli random variables taking values in

. The joint probability mass function of the random variables is given by:

The mutual information

is __________ (rounded off to two decimal places).

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GATE ECE format:nat PYQs

Question 63

Question 64

Question 65

Question 32

Question 33

Question 34

Question 35

Question 58

Question 59

Question 60