GATE CSE 2021 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

The following relation records the age of 500 employees of a company, where

(indicating the employee number) is the key:

Consider the following relational algebra expression:

What does the above expression generate?

Your answerChoose one option.

Employee numbers of only those employees whose age is the maximum.

Employee numbers of only those employees whose age is more than the age of exactly one other employee.

Employee numbers of all employees whose age is not the minimum.

Employee numbers of all employees whose age is the minimum.

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Consider a 3-bit counter, designed using T flip-flops, as shown below:

Assuming the initial state of the counter given by

as 000, what are the next three states?

Your answerChoose one option.

011, 101, 000

001, 010, 111

011, 101, 111

001, 010, 000

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Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is

, where the data bits and the check bits are given in the following tables:

Data bits:

Check bits:

Which one of the following choices gives the correct values of

and

Your answerChoose one option.

is 0 and

is 0.

is 0 and

is 1.

is 1 and

is 0.

is 1 and

is 1.

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2021 · Paper 1