Gate 2010

Duration: 3 min

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Module outline

  1. About Course: About the Course
  2. CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures: Digital Systems & Boolean Basics, Number System, Number Representation, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Permutation and Combination
  3. CS | 02 | Computer Organization and Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Multiprocessors
  4. CS | 03 | Data Structures and Algorithm: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Complexity Theory, Advanced Algorithms
  5. CS | 04 | Problem Solving through C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. CS | 05 | Object Oriented Techniques: Object Oriented Technology, Java
  7. CS | 06 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Unix OS
  8. CS | 07 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Query Processing & Optimization, File Organization & Indexing
  9. CS | 08 | Computer Networks: 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
  10. CS | 09 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  11. CS | 10 | Internet Technology, Web Design and Web Technology: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. CS | 11 | System Analysis And Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance
  13. CS | 12 | Information Security and Cyber Laws: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  14. CS | 13 | Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing
  15. GS Paper | 01 | Indian and World Geography: Geography
  16. GS Paper | 02 | History: History
  17. GS Paper | 03 | Indian Economy & Social Development: Indian Economy
  18. GS Paper | 04 | General Science: Biology, Chemistry, Physics
  19. GS Paper | 05 | Elementary Maths: Number System, Divisibility Rules, HCF LCM, Percentage, Profit and Loss, Simple Interest and Compound Interest, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Algebra, Mensuration and Geometry, Data Interpretation, Arithmetic, Statistics, Probability, Sequence and Series (Series), Mixture and Alligation, Calculus, Trigonometry, Vectors
  20. GS Paper | 06 | Indian Polity and Governance: Polity
  21. GS Paper | 07 | Current Events: GK- Current Affairs
  22. UPLT Live Classes Notes: UPLT Live Classes
  23. UPLT Full Mock Tests Tier 1:
  24. UPLT Full Mock Tests Tier 2:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a solution to a GATE 2010 computer science problem involving hash tables. The problem specifies a hash table of length 10 using open addressing with linear probing and the hash function h(k) = k mod 10. The goal is to determine the insertion order of six keys given the final table state. The instructor begins by listing the provided options and analyzing the hash values for each key present in the table: 42, 23, 34, 52, 46, and 33. He calculates their initial positions: 42 and 52 map to index 2, 23 and 33 map to index 3, 34 maps to index 4, and 46 maps to index 6. He observes that 52 and 33 are displaced from their primary hash positions because indices 2 and 3 are occupied by 42 and 23 respectively. This observation is crucial for eliminating incorrect options.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor reads the problem statement and displays the hash table with values at indices 2, 3, 4, 5, 6, and 7. He writes down the hash function h(k) = k mod 10 and calculates the primary hash index for each key: 42->2, 23->3, 34->4, 52->2, 46->6, 33->3. He notes that 52 and 33 must have probed further because their target slots were occupied. He starts evaluating the options, specifically looking at the order of insertion to see if it results in the observed displacements. He marks option (A) as incorrect because inserting 52 before 23 would place 52 at index 3, contradicting the table.

  2. 2:00 – 2:51 02:00-02:51

    The instructor focuses on verifying option (C): 46, 34, 42, 23, 52, 33. He simulates the insertion process step-by-step. First, 46 goes to index 6. Then 34 goes to index 4. Next, 42 goes to index 2. Then 23 goes to index 3. When 52 is inserted, it hashes to 2 (occupied by 42), probes 3 (occupied by 23), probes 4 (occupied by 34), and lands at index 5. Finally, 33 hashes to 3 (occupied by 23), probes 4, 5, 6 (occupied by 46), and lands at index 7. This sequence perfectly matches the final table configuration shown in the problem. He concludes that option (C) is the correct answer.

The lesson effectively teaches how to validate insertion sequences in hash tables with linear probing. By calculating initial hash positions and simulating the probing sequence for each candidate option, one can determine the valid order. The key takeaway is that displaced elements must find the first available slot after their primary hash index, skipping over previously inserted elements.

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