1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Let ri(z) and wi(z) denote read and write operations respectively on a data item z by a transaction Ti. Consider the following two schedules.

S1 : r1(x) r1(y) r2(x) r2(y) w2(y) w1(x)

S2 : r1(x) r2(x) r2(y) w2(y) r1(y) w1(x)

Which one of the following options is correct?

A
S1 is conflict serializable, and S2 is not conflict serializable.
B
S1 is not conflict serializable, and S2 is conflict serializable.
C
Both S1 and S2 are conflict serializable.
D
Neither S1 nor S2 is conflict serializable.
2
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables:

Data bits

d8

d7

d6

d5

d4

d3

d2

d1

1

1

0

x

0

1

0

1

 

c8

c4

c2

c1

Y

0

1

0


Which one of the following choices gives the correct values of x and y?
A
x is 1 and y is 0.
B
x is 1 and y is 1.
C
x is 0 and y is 1.
D
x is 0 and y is 0.
3
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
A
21
B
528
C
D2
D
15
4
GATE CSE 2021 Set 1
MCQ (More than One Correct Answer)
+2
-0.67

Consider the following Boolean expression.

$$F = (X + Y + Z)(\overline X + Y)(\overline Y + Z)$$

Which of the following Boolean expressions is/are equivalent to $$\overline F$$ (complement of F)?

A
$$(\overline X + \overline Y + \overline Z )(X + \overline Y )(Y + \overline Z )$$
B
$$X\overline Y + \overline Z$$
C
$$X\overline Y + Y\overline Z + \overline X \overline Y \overline Z $$
D
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
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