CS Fundamentals

263 articles in this topic

Turing Machines in Theory of Computation: Design, Worked Trace and Decidability

A six-state Turing machine for L = {0^n1^n}: built from the seven-tuple, traced move by move on 0011 to XXYY and q_accept, then proved a decider rather than only a recogniser.

Updated 8 Aug 20266 min read55 viewsTheory of Computation

Floating Point Representation in COA: IEEE 754 Explained with Worked Examples

Learn the IEEE 754 single-precision layout through two complete conversions, then understand hidden bits, biased exponents, special values, and rounding errors.

Updated 7 Aug 20266 min readComputer Organization & Architecture

Digital Systems and Boolean Algebra Basics: Complete Guide with a Worked Example

Connect bits, truth tables, Boolean laws, canonical forms, K-maps, and gates by following one three-input function from specification to a simplified circuit.

Updated 7 Aug 20266 min readDigital Logic

C Programming for GATE: Syllabus Areas, Weightage Pattern and How to Prepare

Understand where C fits in GATE CS, what exam questions test, and how to build reliable tracing skills through pointers, recursion and structured practice.

Updated 6 Aug 20265 min read129 viewsC Programming & Data Structures

Data Link Layer Error Control in Computer Networks: Concepts, CRC, Hamming and Worked Examples

Build error control from first principles, then work through parity, CRC, Hamming code and checksum using bits you can verify by hand.

Updated 6 Aug 20266 min read53 viewsComputer Networks

Lexical Analysis in Compiler Design: Tokens, Patterns, and DFA-Based Scanning with Worked Examples

Learn how a scanner turns source characters into tokens, how token patterns become DFAs, and how longest match, lookahead, and token-counting questions work.

Updated 6 Aug 20266 min readCompiler Design

Relations in Discrete Mathematics: Properties, Posets and Worked Examples

Build relations from Cartesian products, test their properties mechanically, and solve equivalence, partial-order, closure, and counting questions with exact examples.

Updated 6 Aug 20266 min read69 viewsEngineering Mathematics

Inter-Process Communication for GATE: Shared Memory, Message Passing and Pipes Compared

Learn who moves the data and who provides synchronization in each IPC model, then test the distinction through six carefully adjudicated statements.

Updated 6 Aug 20266 min readOperating Systems

CNF and GNF for GATE: CFG Simplification and Normal-Form Conversion, Step by Step

Run epsilon, unit and useless-production removal in the right order, convert one full grammar to CNF, and verify the two derivation-count formulas.

Updated 6 Aug 20267 min readDBMS

Theory of Computation (TOC): Complete Guide with Worked Examples

Connect the main ideas of TOC through worked examples, from alphabets and DFA traces to grammars, stacks, Turing machines and decidability.

Updated 6 Aug 20266 min readTheory of Computation

Control Unit Design in COA: Hardwired vs Microprogrammed, with Worked Examples

Build control unit design from timed micro-operations. Work through a fetch and LOAD sequence, derive control signals, and size horizontal and vertical microcode.

Updated 4 Aug 20266 min readComputer Organization & Architecture

Digital Electronics for GATE: Official Syllabus Map, Weightage Logic and Prep Order

Turn the compact GATE CS Digital Logic syllabus into a practical study sequence, then learn how to audit past-paper weightage without treating it as a forecast.

Updated 4 Aug 20265 min readDigital Logic