Practice Question Language

Duration: 2 min

This video lesson is available to enrolled students.

Return to /learn/COAL-INDIA-MANAGEMENT-TRAINEE/theory-of-computation/deterministic-fa-dfa/dfa-construction-design/asset-practice-question-language-2016 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper-2 | Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  3. Paper-2 | Databases / DBMS & SQL: 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
  4. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  5. Paper-2 | Computer Networks & Security: 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 Access Technologies, Network Security
  6. Paper-2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  7. Paper-2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  8. Paper-2 | Theory of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  9. Paper-2 | Computer Organization & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer
  10. Paper-2 | 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
  11. Paper-1 | General Awareness: Polity, Physics, Biology, Chemistry, Static General Knowledge, GK- Current Affairs, History, Geography, Indian Economy, Environment
  12. Paper-1 | Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Data Interpretation, Blood Relations, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Clock, Calendar, Cubes & Dices, Directions (Direction Test), Analogy, Seating Arrangements, Analytical Reasoning (Counting Figures Reasoning)
  13. Paper-1 | Quantitative Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Speed Time and Distance, Average, Age Problems, Percentage, Profit and Loss, Time and Work, Pipe and Cistern, Simple Interest and Compound Interest, Powers and Exponents (Surds and Indices), Mensuration and Geometry, Probability, Statistics, Arithmetic, Algebra
  14. Paper-1 | English: Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Cloze Test (Cloze Passage)
  15. Coal India Previous Year Paper:
  16. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus
  17. Coal India Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video features an educational lecture on automata theory, specifically analyzing a Finite Automaton (FA) labeled M. The instructor presents a state diagram with five states: S0, S1, S2, S3, and S4. The objective is to determine the language L(M) accepted by this machine from four given multiple-choice options. The instructor begins by tracing the transitions to understand the machine's behavior. He identifies that the sequence of transitions S0 -> S1 (on 'a'), S1 -> S2 (on 'a'), S2 -> S3 (on 'b'), and S3 -> S4 (on 'b') corresponds to the input string "aabb". State S4 is a final state, indicated by a double circle, and crucially, it has self-loops for both 'a' and 'b'. This means that once the machine reaches S4, it remains in the accepting state regardless of subsequent inputs.

The instructor then systematically evaluates the options. He notes that option (a) suggests words must start with "aabb". However, since S0 has a self-loop on 'b', a string like "baabb" would transition S0 -> S0 -> S1 -> S2 -> S3 -> S4, which is accepted. Thus, the word does not need to start with "aabb". He dismisses option (c) "ending with aabb" because the loops in S4 allow any characters to follow "aabb", so a string like "aabbba" is also accepted. Similarly, option (d) "exactly one occurrence" is rejected because the loops in S4 allow the machine to accept strings with multiple occurrences of "aabb", such as "aabbaabb". Finally, he concludes that option (b) "Set of all words having aabb as a sub word" is the correct description. The machine accepts any string that contains "aabb" as a substring, as reaching S4 guarantees acceptance. The instructor underlines option (b) to confirm the answer.

Chapters

  1. 0:00 – 1:36 00:00-01:36

    The instructor introduces the problem of finding the language L(M) for the given machine M. He displays the state diagram with states S0 through S4. He traces the path for "aabb" (S0->S1->S2->S3->S4) and notes the final state S4 has loops on 'a' and 'b'. He discusses the options, eliminating (a) because S0 loops on 'b', eliminating (c) and (d) because S4 loops allow any suffix or multiple occurrences. He concludes that the machine accepts any word containing "aabb" as a substring, underlining option (b).

The lecture demonstrates how to analyze a Finite Automaton to determine its accepted language. By tracing paths and observing state transitions, particularly final states with self-loops, one can deduce that the machine accepts any string containing a specific substring. The key insight is that once the substring "aabb" is recognized, the machine enters a "trap" or "accepting" state that never leaves, effectively matching the language of strings containing that substring.

Loading lesson…