Gate 2001_

Duration: 3 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 is a lecture on digital logic design, specifically analyzing a sequential circuit problem from the GATE 2001 exam. The instructor solves a problem involving a 3-bit counter using D flip-flops. He derives excitation equations from the circuit diagram, constructs a state transition table, and traces the state sequence starting from an initial condition to identify the correct option among multiple choices.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces a GATE 2001 problem involving a circuit with three D flip-flops labeled $Q_0$ (LSB), $Q_1$, and $Q_2$ (MSB). He derives the excitation equations by tracing the connections: $D_0$ is the output of an XOR gate with inputs $Q_2$ and $Q_1$, so $D_{0N} = Q_{2P} \oplus Q_{1P}$. $D_1$ is connected to $Q_0$, so $D_{1N} = Q_{0P}$. $D_2$ is connected to $Q_1$, so $D_{2N} = Q_{1P}$. He then sets up a state transition table with columns for Present State ($Q_{2P}, Q_{1P}, Q_{0P}$) and Next State ($Q_{2N}, Q_{1N}, Q_{0N}$) and begins filling it systematically for all 8 states from 000 to 111.

  2. 2:00 – 3:11 02:00-03:11

    The instructor completes the state table and traces the sequence starting from the initial state $Q_0=1, Q_1=0, Q_2=0$ (decimal 1). He follows the transitions: 1 (001) goes to 2 (010), then to 5 (101), then to 3 (011), then to 7 (111), then to 6 (110), then to 4 (100), and finally back to 1 (001). He draws this cycle on the board to visualize the flow: 1 -> 2 -> 5 -> 3 -> 7 -> 6 -> 4 -> 1. By comparing this derived sequence with the given options, he identifies option (B) '1, 2, 5, 3, 7, 6, 4' as the correct answer.

The lecture demonstrates a systematic approach to analyzing sequential circuits. First, the excitation equations for the flip-flops are derived from the combinational logic feeding their inputs. Second, a state transition table is constructed to map every present state to its corresponding next state. Finally, the sequence is traced starting from the specified initial state to determine the circuit's behavior over time. This method allows for the verification of the circuit's counting sequence against the provided multiple-choice options.

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