Practice problem on moore machine part-1

Duration: 5 min

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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 constructing Moore machines for specific string processing tasks. The instructor, Sanchit Jain, begins by defining a problem where the machine must count the number of 'a's in an input string consisting of 'a's and 'b's, outputting 1 for an odd count and 0 for an even count. He then transitions to a second problem involving counting the occurrences of the substring "ab". Throughout the lecture, he demonstrates the step-by-step construction of state diagrams, defining states, transitions, and outputs based on the input alphabet $\Sigma = \{a, b\}$ and output alphabet $\Delta = \{0, 1\}$. The lecture serves as a practical guide for students learning automata theory, specifically focusing on the design of sequential circuits that perform counting operations.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the first problem: "construct a Moore machine take all the string of a's and b's as i/p and counts the no of a's in the i/p string in terms of 1". He starts drawing the state diagram with an initial state $q_0$ labeled with output 0 ($q_0/0$). He explains that input 'b' does not change the count of 'a's, so he draws a self-loop on $q_0$ for input 'b'. He then draws a transition to state $q_1$ for input 'a', labeling it $q_1/1$ to indicate an odd count of 'a's. He adds a self-loop on $q_1$ for input 'a' (keeping the count odd) and a transition back to $q_0$ for input 'b' (making the count even). He validates the design by tracing the input string "baabab", showing the output sequence 0 1 1 0 1 0, which corresponds to the parity of 'a's encountered so far. The visual evidence includes the handwritten state diagram with circles for states and arrows for transitions, clearly labeled with inputs and outputs. This section establishes the fundamental concept of using states to track the parity of a specific character count.

  2. 2:00 – 4:32 02:00-04:32

    The instructor presents a new problem: "construct a Moore machine take all the string of a's and b's as i/p and counts the no of occurrence of sub-string 'ab' in terms of 1". He writes an example string "a b a a b b a b a b" and underlines the "ab" substrings to clarify the goal. He constructs the state diagram starting with $q_0$ (output 0) with a self-loop for 'b' and a transition to $q_1$ for 'a'. State $q_1$ (output 0) has a self-loop for 'a' and transitions to $q_2$ for 'b'. State $q_2$ (output 1) represents the detection of "ab". He adds a self-loop for 'b' on $q_2$ and a transition to $q_1$ for 'a', allowing for overlapping or subsequent matches. He completes the diagram and marks it with a check, confirming the logic for counting substring occurrences. The visual evidence includes the handwritten state diagram with circles for states and arrows for transitions, clearly labeled with inputs and outputs. This section demonstrates how to handle pattern matching by creating intermediate states that represent partial matches of the target substring.

The lecture effectively demonstrates the systematic approach to designing Moore machines for counting problems. The first example establishes the concept of state-based counting (parity), while the second example extends this to pattern matching (substring counting). The instructor emphasizes the importance of defining states that represent the progress towards the counting goal and carefully handling transitions to ensure all input combinations are covered correctly. By working through concrete examples, the instructor provides a clear methodology for students to apply when solving similar automata construction problems in their coursework.

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