1
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The format of a single-precision floating-point number as per the IEEE 754 standard is:

Sign
(1 bit)
Exponent
(8 bits)
Mantissa
(23 bits)

Choose the largest floating-point number among the following options.

A

Sign

0

Exponent

0111 1111

Mantissa

1111 1111 1111 1111 1111 1111

B

Sign

0

Exponent

1111 1110

Mantissa

1111 1111 1111 1111 1111 1111

C

Sign

0

Exponent

1111 1111

Mantissa

1111 1111 1111 1111 1111 1111

D

Sign

0

Exponent

0111 1111

Mantissa

0000 0000 0000 0000 0000 0000

2
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+1
-0.33

For a Boolean variable x, which of the following statements is/are FALSE?

A

x . 1 = x

B

x + 1 = x

C

x . x = 0

D

x + x̄ = 1

3
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0.66

Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?

A

64 in radix-10

B

100 in radix-8

C

50 in radix-16

D

121 in radix-7

4
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0.66

Consider 4-variable functions $f1, f2, f3, f4$ expressed in sum-of-minterms form as given below.

$f1 = \sum(0,2,3,5,7,8,11,13)$

$f2 = \sum(1,3,5,7,11,13,15)$

$f3 = \sum(0,1,4,11)$

$f4 = \sum(0,2,6,13)$

GATE CSE 2024 Set 2 Digital Logic - Boolean Algebra Question 1 English

With respect to the circuit given above, which of the following options is/are CORRECT?

A

$Y = \sum(0,1,2,11,13)$

B

$Y = \prod(3,4,5,6,7,8,9,10,12,14,15)$

C

$Y = \sum(0,1,2,3,4,5,6,7)$

D

$Y = \prod(8,9,10,11,12,13,14,15)$

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