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

GATE CSE 2024 Set 2

MCQ (More than One Correct Answer)

-0.66

Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?

64 in radix-10

100 in radix-8

50 in radix-16

121 in radix-7

GATE CSE 2023

MCQ (Single Correct Answer)

-0.67

Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.

Which one of the following corresponds to the product of these numbers (i.e., P $$\times$$ Q), represented in the IEEE-754 single precision format?

0x404C2EF4

0x405C2EF4

0xC15C2EF4

0xC14C2EF4

GATE CSE 2021 Set 1

MCQ (Single Correct Answer)

-0.67

Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d₈d₇d₆d₅c₈d₄d₃d₂c₄d₁c₂c₁, where the data bits and the check bits are given in the following tables:

Data bits
d₈	d₇	d₆	d₅	d₄	d₃	d₂	d₁
1	1	0	x	0	1	0	1

c₈	c₄	c₂	c₁
Y	0	1	0

Which one of the following choices gives the correct values of x and y?

x is 1 and y is 0.

x is 1 and y is 1.

x is 0 and y is 1.

x is 0 and y is 0.

GATE CSE 2021 Set 1

MCQ (Single Correct Answer)

-0.67

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

528

GATE CSE Subjects

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

Algorithms

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

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

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

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

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

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

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

Computer Organization

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