Practice problem on moore machine part-1

Duration: 5 min

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Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. 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, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: 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, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. 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, Complexity Theory
  10. 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. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. 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, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional Tests:
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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