Turing Machine Design Practice Problem Part-3_

Duration: 9 min

This video lesson is available to enrolled students.

Return to /learn/COAL-INDIA-MANAGEMENT-TRAINEE/theory-of-computation/turing-machines/tm-basics-design/asset-turing-machine-design-practice-problem-part-3 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.

This educational video features Sanchit Jain Sir from Knowledge Gate explaining how to design a Turing Machine for the language L = {w c w | w ∈ {0, 1}*}. The lecture begins by defining the language, where a string 'w' is followed by a separator 'c' and then the same string 'w' again. The instructor uses 'a' and 'b' as examples for the binary alphabet {0, 1} to illustrate the concept. He demonstrates the process on a tape, marking the first symbol of the first 'w' with 'X' and moving right to find the separator 'c'. After finding 'c', he moves right to the corresponding symbol in the second 'w', marks it, and then moves left to return to the beginning of the tape to repeat the process for the next symbol. The video concludes with a detailed state diagram showing all necessary states and transitions to handle matching, marking, returning, and accepting the string.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the problem: Design a Turing machine for L = {w c w | w ∈ {0, 1}*}. He explains that the input consists of a string 'w', a separator 'c', and the same string 'w' again. He provides an example string 'abaa c aba' on the tape, noting that while the language uses {0, 1}, he uses 'a' and 'b' for clarity. He starts the design by marking the first symbol 'a' with 'X' to indicate it has been processed. He then moves the tape head to the right to locate the separator 'c', drawing the initial tape configuration with blanks 'B' on both ends.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues the design by explaining the matching process. After finding 'c', the machine moves right to find the corresponding symbol in the second 'w'. If the symbol matches the one marked 'X' (e.g., 'a'), it is marked (e.g., with 'Y' or another symbol) to indicate it has been processed. The machine then moves left to return to the beginning of the tape to find the next unmarked symbol in the first 'w'. He begins drawing the state diagram, starting with state q0 which reads 'a' or 'b', writes 'X', and moves right to state q1. State q1 moves right until 'c' is found.

  3. 5:00 – 8:40 05:00-08:40

    The instructor completes the state diagram, adding states for moving left back to the start and handling the acceptance condition. He draws transitions for states q2 through q11, showing how the machine moves left past marked symbols to find the next unmarked one. He explains the logic for checking if the entire string has been matched, including transitions for when the tape head encounters a blank 'B' after processing all symbols. The final state qf is drawn, representing acceptance. The diagram includes loops for moving right and left across the tape, ensuring the machine correctly verifies that the second 'w' is identical to the first 'w'.

The video provides a step-by-step tutorial on constructing a Turing Machine for a specific language involving string repetition. It covers the initial problem analysis, tape manipulation strategies like marking symbols with 'X' and 'Y', and the construction of a complex state diagram with multiple states to handle the matching and return logic. The instructor emphasizes the importance of tracking processed symbols and returning to the start of the tape to ensure the entire string is verified correctly.

Loading lesson…