Practice Question

Duration: 4 min

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  1. About Course: About the Course
  2. General Aptitude & Reasoning: Number System, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Speed Time and Distance, Mixture and Alligation, Data Interpretation, Algebra, Probability, Permutation and Combination, Venn Diagram, HCF LCM, Divisibility Rules, Age Problems, Pipe and Cistern, Partnership, Linear Algebra, Sequence and Series (Series), Statistics, Powers and Exponents (Surds and Indices), Arithmetic, Mensuration and Geometry, Calculus, Trigonometry, Vectors, Speed Mathematics and Basic Mathematics, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analogy, Series (Number and Letter Series) (Numerical Relations and Reasoning), Puzzle Solving (Puzzles), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Calendar, Seating Arrangements, Coding Decoding, Blood Relations, Directions (Direction Test), Clock, Analytical Reasoning (Counting Figures Reasoning), Ranking, Order and Sequence, Logical Sequence Of Words, Inequality, Data Sufficiency, Cubes & Dices
  3. Computer Networks & Cybersecurity: 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
  4. Programming, Data Structures & Algorithms: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  5. AI, Machine Learning, Big Data & Cloud: Emerging Tech Trends, Artificial Intelligence, Big Data Systems, Approaches to AI, Search Algorithms, Knowledge Representation, Cloud Computing
  6. Digital Logic & Computer Organization: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer
  7. TOC & Compiler: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory, 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
  8. Discrete Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic
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  10. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Object Oriented Technology, HTML Basics, JavaScript-Basics, Java, XML
  11. Database Management System: 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, Database Recovery, Data Warehousing & Mining, Enhanced Data Models, NoSQL
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  13. Live Classes: ISRO Live classes
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AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The lecture focuses on converting a non-deterministic context-free grammar into a deterministic one using the left factoring technique. The problem statement presents the grammar S -> aAb / aABc / aABcd / aA / a. The instructor explains that this grammar is non-deterministic because multiple productions begin with the terminal 'a', creating ambiguity for a predictive parser. He systematically applies left factoring to resolve this. The process involves identifying common prefixes, extracting them into new non-terminals, and repeating the process until no common prefixes remain among the alternatives of any non-terminal. The final output is a set of productions where each rule starts with a unique terminal, ensuring determinism.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins by analyzing the initial grammar S -> aAb / aABc / aABcd / aA / a. He identifies 'a' as the common prefix for all productions. He rewrites the rule as S -> aS'. The alternatives for S' are derived by removing the 'a': Ab, ABc, ABcd, A, and epsilon (representing the original a production). He then observes that Ab, ABc, ABcd, and A all start with the non-terminal 'A'. He factors out 'A' to create S' -> AS'' / epsilon. Next, he looks at S'' alternatives: b, Bc, Bcd, epsilon. He identifies 'B' as a common prefix for Bc and Bcd, rewriting S'' as S'' -> BS''' / b / epsilon. This window establishes the hierarchical structure of the factored grammar.

  2. 2:00 – 3:33 02:00-03:33

    The instructor finalizes the grammar by factoring the remaining alternatives for S'''. The current alternatives are c and cd. He identifies 'c' as the common prefix and introduces a new non-terminal S''''. He writes S''' -> cS''''. The new non-terminal S'''' handles the suffixes: epsilon (for the c case) and d (for the cd case), written as S'''' -> epsilon / d. He then organizes the final grammar by numbering the productions: 1. S -> aS', 2. S' -> AS'' / epsilon, 3. S'' -> BS''' / b / epsilon, 4. S''' -> cS'''', 5. S'''' -> epsilon / d. He reviews these steps to ensure the grammar is now deterministic and free of left recursion or common prefixes.

The video effectively demonstrates the iterative nature of left factoring. By breaking down the grammar into layers of non-terminals (S', S'', S''', S''''), the instructor removes ambiguity at each level. The final grammar is suitable for LL(1) parsing because the FIRST sets of the alternatives for each non-terminal are disjoint. This transformation is a fundamental step in compiler design for constructing efficient parsers.

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