1
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.
2
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
3
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
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
4
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

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

Assuming the initial state of the counter given by PQR as 000, what are the next three states?

A
001, 010, 000
B
001, 010, 111
C
011, 101, 111
D
011, 101, 000
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