Practice Questions

Duration: 2 min

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Module outline

  1. Discrete Mathematics: Permutation, Combination and Probability / क्रमचय, संचय एवं प्रायिकता, Set Theory, Relations, Functions, Propositional and Predicate Logic, Graph Theory, Group Theory
  2. Digital Logic: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Computer Organization and Architecture: Basics of COA, Programming the Basic Computer, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Pipelining, Multiprocessors
  4. Programming: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++
  5. Data Structures: Introduction to DS, Array, Linked List, Stack, Queue, Tree, Graphs, Hashing
  6. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  7. Theory of Computation: Grammar, Regular Language Properties, Moore & Mealy Machines, Turing Machines
  8. Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment, Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Pushdown Automata & CFG, Complexity Theory
  9. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS, Security
  10. Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, ORDBMS, NoSQL
  11. Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational segment focuses on formal language theory, specifically the computation of First and Follow sets for context-free grammars. The instructor presents two separate problems to illustrate the methodology. The first problem involves a grammar generating binary strings, while the second deals with an arithmetic expression grammar. Throughout the session, the instructor writes the production rules and the resulting sets in red ink, providing a clear visual guide for students learning compiler design concepts. The lecture emphasizes the systematic approach required to handle epsilon productions and multiple alternatives in grammar rules. The instructor's methodical derivation helps students understand how to trace symbols through production rules to find the initial terminals.

Chapters

  1. 0:00 – 1:53 00:00-01:53

    The session opens with the grammar S -> 0S' / 1S' and S' -> 0S1S' / epsilon displayed in orange text. The instructor identifies the terminals 0 and 1 to determine First(S) = {0, 1}. He then analyzes S', noting it can produce 0 or epsilon, leading to First(S') = {0, epsilon}. The video then shifts to a new grammar: R -> (R)R' / aR' / bR' and R' -> +RR' / RR' / *R' / epsilon. He calculates First(R) by looking at the start symbols of the right-hand sides, resulting in {(, a, b}. For First(R'), he considers the terminals +, *, and epsilon, as well as the fact that R' can derive R which starts with (, a, or b, resulting in First(R') = {+, *, epsilon, (, a, b}. The instructor writes these sets in red ink next to the black text labels First(R) and First(R'). The visual layout clearly separates the grammar rules from the calculated sets, aiding student comprehension. The instructor's gestures and focus on specific parts of the equations guide the viewer through the logical steps.

The lecture effectively bridges theoretical definitions with practical calculation. By moving from a simple binary grammar to a more complex arithmetic one, the instructor reinforces the rules for handling epsilon and recursive productions. The step-by-step derivation of First sets serves as a crucial precursor to building predictive parsing tables, a key topic in compiler construction courses. The visual progression from problem statement to solution highlights the logical flow of parsing theory. Understanding these sets is fundamental for constructing LL(1) parsers, which are essential for modern compiler front-ends. The clear distinction between terminals and non-terminals in the examples aids in grasping the core concepts of formal grammars.

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