GATE CSE 2024 Set 2 | Number Systems Question 1 | Digital Logic

GATE CSE 2024 Set 2

MCQ (Single Correct Answer)

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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)

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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

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

Your input ____

GATE CSE 2022

MCQ (Single Correct Answer)

-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?

R1 = 1011 and R2 = 1110

R1 = 1100 and R2 = 1010

R1 = 0011 and R2 = 0100

R1 = 1001 and R2 = 1111