1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+1
-0.33
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
2
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
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
3
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:

GATE CSE 2021 Set 1 Digital Logic - Sequential Circuits Question 5 English

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
4
GATE CSE 2021 Set 1
Numerical
+1
-0

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

S: 1 E:   10000001    F : 11110000000000000000000

Here S, E and F denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ______

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