1

GATE CSE 2016 Set 2

Numerical

+1

-0

Consider an eight-bit ripple-carry adder for computing the sum of $$A$$ and $$B,$$ where $$A$$ and $$B$$ are integers represented in $$2’s$$ complement form. If the decimal value of $$A$$ is one, the decimal value of $$B$$ that leads to the longest latency for the sum to stabilize is __________ .

Your input ____

2

GATE CSE 2016 Set 2

Numerical

+1

-0

Let $$X$$ be the number of distinct $$16$$-bit integers in $$2’s$$ complement representation. Let $$Y$$ be the number of distinct $$16$$-bit integers in sign magnitude representation.

Then $$X −Y$$ is ____________.

Then $$X −Y$$ is ____________.

Your input ____

3

GATE CSE 2016 Set 1

Numerical

+1

-0

The $$16$$-bit $$2’s$$ complement representation of an integer is $$1111$$ $$1111$$ $$1111$$ $$0101;$$ its decimal
representation is ____________.

Your input ____

4

GATE CSE 2014 Set 1

Numerical

+1

-0

The base (or radix) of the number system such that the following equation holds is __________

$${{312} \over {20}} = 13.1$$

$${{312} \over {20}} = 13.1$$

Your input ____

Questions Asked from Number Systems (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages