GATE CSE 2025 Set 1 | Number Systems Question 2 | Digital Logic

GATE CSE 2025 Set 1

MCQ (More than One Correct Answer)

-0

The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of $-6$ ?

10001010 in 8-bits

11111010 in 8-bits

1000000000001010 in 16-bits

1111111111111010 in 16-bits

GATE CSE 2024 Set 2

MCQ (Single Correct Answer)

-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.

Sign

Exponent

0111 1111

Mantissa

1111 1111 1111 1111 1111 1111

Sign

Exponent

1111 1110

Mantissa

1111 1111 1111 1111 1111 1111

Sign

Exponent

1111 1111

Mantissa

1111 1111 1111 1111 1111 1111

Sign

Exponent

0111 1111

Mantissa

0000 0000 0000 0000 0000 0000

GATE CSE 2024 Set 1

MCQ (Single Correct Answer)

-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 + B

A - B

B - A

2 * B

GATE CSE 2023

Numerical

-0

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

Your input ____