Practice Question

Duration: 3 min

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Module outline

  1. Discrete Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic
  2. DataBase Management System/DBMS: 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
  3. Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  4. Computer Architecture: Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design
  5. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  6. C Language: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  7. Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. Computer Networks: Introduction to CN, 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
  10. Theory Of Computation/Automata Theory: 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
  11. 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
  12. Engineering Mathematics: Permutation and Combination, Linear Algebra, Calculus, Probability, Statistics
  13. General Aptitude: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Mensuration and Geometry, Mental Ability, Arithmetic, Profit and Loss, Powers and Exponents (Surds and Indices), Average, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Syllogisms, Venn Diagram, Seating Arrangements, Blood Relations, Directions (Direction Test), Analogy, Algebra, Time and Work, Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Cubes & Dices, Ranking, Order and Sequence, Mixture and Alligation, Age Problems, Clock, Selection Decision Table (Decision Making), Data Arrangement
  14. English (Verbal Aptitude): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Preposition, Direct and Indirect Speech, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Completion (Fill in the blanks), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Correction (Error Correction), Verbal Analogy (Word Based Analogy), Conjunction, Interjection, Verb, Articles, Adverb, Modals, Sentence Construction
  15. Live Classes Recordings(Earlier Batch): GATE 2026 Live Class
  16. Full Mock Test:
  17. Previous Year Papers:
  18. GATE 2026 Counselling: Counselling and Guidance Sessions
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture focuses on Finite Automata, specifically Nondeterministic Finite Automata (NFA) with epsilon transitions. The instructor solves problems involving the conversion of NFAs to epsilon-free forms and determining accepted strings. The session also covers theoretical properties, such as the equivalence of NFAs and DFAs, and the limitations of FSMs. A GATE exam problem is introduced at the end involving transition tables.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor analyzes an NFA diagram with states q0, q1, and q2. q0 has a self-loop on '0' and epsilon transition to q1. q1 has a self-loop on '1' and epsilon transition to q2. q2 is a final state with a self-loop on '2'. The first question asks for the set of final states if this NFA is converted to one without epsilon moves. The instructor explains that since q2 is final, any state that can reach q2 via epsilon transitions (q1 and q0) must also become final. Thus, the set is {q0, q1, q2}, corresponding to option (c). Next, the instructor addresses a question about which string is not accepted. The NFA structure implies a language of the form 0*1*2*. The string "21" is identified as invalid because it violates the order of states. The instructor circles option (c) "21".

  2. 2:00 – 2:33 02:00-02:33

    The lecture shifts to theoretical properties. A question asks "Which of the following is false?". The instructor evaluates option (c) "There are some NFAs for which no DFA can be constructed" as the false statement, marking it with an X, because every NFA can be converted to an equivalent DFA. He marks other options as true. The next question asks if an FSM can add two integers. The instructor marks "false" (option b), explaining that FSMs lack the memory to handle arbitrary integer addition. Finally, a GATE 2017 problem is introduced, presenting a transition table for an epsilon-NFA and asking for the extended transition function delta'(q2, aba). The instructor begins to analyze the table rows for q2 but the video concludes before the solution is fully derived.

The video progresses from practical NFA conversion problems to theoretical properties of automata. It reinforces the concept that epsilon transitions allow movement between states without input, affecting final state sets. It clarifies that NFAs and DFAs are equivalent in power, debunking the idea that some NFAs cannot be converted. Finally, it highlights the limitations of FSMs regarding memory-intensive tasks like addition, setting the stage for more powerful automata like Pushdown Automata.

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