GATE CSE 2004 | Number Systems Question 21 | Digital Logic

GATE CSE 2004

MCQ (Single Correct Answer)

-0.3

$${73_x}$$ (in base $$-$$ $$x$$ number system) is equal to $${54_y}$$ (in base $$-y$$ number system), the possible values of $$x$$ and $$y$$ are

$$8,$$ $$16$$

$$10,$$ $$12$$

$$9,$$ $$13$$

$$8,$$ $$11$$

GATE CSE 2003

MCQ (Single Correct Answer)

-0.3

Assuming all numbers are in $$2's$$ complement representation, which of the following numbers is divisible by $$11111011?$$

$$11100111$$

$$11100100$$

$$11010111$$

$$11011011$$

GATE CSE 2002

MCQ (Single Correct Answer)

-0.3

The decimal value $$0.25$$

is equivalent to binary $$0.1$$

is equivalent to binary $$0.01$$

is equivalent to binary $$0.00111$$

can not be represented precisely in binary

GATE CSE 2002

MCQ (Single Correct Answer)

-0.3

The $$2's$$ compliment representation of the decimal value $$-15$$ is

$$1111$$

$$11111$$

$$111111$$

$$10001$$

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GATE CSE Subjects

Discrete Mathematics

Mathematical Logic Probability Set Theory & Algebra Combinatorics Linear Algebra Graph Theory Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Theory of Computation

Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine Undecidability

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency File System IO and Protection Deadlocks Memory Management

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Computer Organization

Computer Arithmetic Memory Interfacing Pipelining Machine Instructions and Addressing Modes Alu Data Path and Control Unit IO Interface Secondary Memory

Database Management System

Er Diagrams Functional Dependencies and Normalization Structured Query Language Relational Algebra Transactions and Concurrency File Structures and Indexing

Data Structures

Trees Hashing Arrays Linked List Graphs Stacks and Queues

Computer Networks

Concepts of Layering Lan Technologies and Wi-Fi Data Link Layer and Switching Network Layer Routing Algorithm TCP UDP Sockets and Congestion Control Application Layer Protocol Network Security

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method Dynamic Programming P and NP Concepts

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Software Engineering

Web Technologies

General Aptitude

Numerical Ability Verbal Ability