1
GATE CSE 2024 Set 2
+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 1
+1
-0.33

Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers A and B are represented as A=01010 and B=11010. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?

A

A + B

B

A - B

C

B - A

D

2 * B

3
GATE CSE 2023
Numerical
+1
-0.33

A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is ____________.

4
GATE CSE 2022
+1
-0.33

Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1 + R2, which one of the following values of R1 and R2 gives an arithmetic overflow?

A
R1 = 1011 and R2 = 1110
B
R1 = 1100 and R2 = 1010
C
R1 = 0011 and R2 = 0100
D
R1 = 1001 and R2 = 1111
GATE CSE Subjects
EXAM MAP
Medical
NEET