GATE CSE 2025 Set 2 | Boolean Algebra Question 1 | Digital Logic

GATE CSE 2025 Set 2

Numerical

-0

The following two signed 2's complement numbers (multiplicand M and multiplier Q ) are being multiplied using Booth's algorithm :

M : 1100110111101101 and Q : 1010010010101010

The total number of addition and subtraction operations to be performed is ________ (Answer in integer)

Your input ____

GATE CSE 2025 Set 1

MCQ (More than One Correct Answer)

-0

Let $X$ be a 3-variable Boolean function that produces output as ' 1 ' when at least two of the input variables are ' 1 '. Which of the following statement(s) is/are CORRECT, where $a, b, c, d, e$ are Boolean variables?

$X(a, b, X(c, d, e))=X(X(a, b, c), d, e)$

$X(a, b, X(a, b, c))=X(a, b, c)$

$X(a, b, X(a, c, d))=(X(a, b, a)$ AND $X(c, d, c))$

$X(a, b, c)=X(a, X(a, b, c), X(a, c, c))$

GATE CSE 2024 Set 2

MCQ (More than One Correct Answer)

-0

For a Boolean variable x, which of the following statements is/are FALSE?

x . 1 = x

x + 1 = x

x . x = 0

x + x̄ = 1

GATE CSE 2019

MCQ (Single Correct Answer)

-0.33

Which one of the following is NOT a valid identity?

(x ⊕ y) ⊕ z = x ⊕ (y ⊕ z)

(x + y) ⊕ z = x ⊕ (y + z)

x ⊕ y = x + y, if xy = 0

x ⊕ y = (xy + x'y')'

GATE CSE Subjects

Theory of Computation

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

Operating Systems

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

Algorithms

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

Digital Logic

K Maps Boolean Algebra Combinational Circuits Number Systems 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 Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Discrete Mathematics

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

Programming Languages

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

Computer Organization

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