Most Popular Hash Function

Duration: 3 min

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Module outline

  1. About Course: About the Course
  2. Paper 1 | General Studies: State Wise GK
  3. Paper 1 | Information and Communication Technology: Role of Internet and Web Services, Security in Mobile and Wireless Computing
  4. Paper 1 | Current Affairs: GK- Current Affairs
  5. Paper 2 | Discrete Mathematical Structure: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Probability
  6. Paper 2 | Digital Computer Organization And Architecture: Number System, Number Representation, Sequential Circuits, Combinational Circuit, Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer
  7. Paper 2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  8. Paper 2 | Programming Languages & Object-Oriented Programming Concepts: Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  9. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  10. Paper 2 | Data Structure And Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Advanced Algorithms
  11. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS
  12. 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, Complexity Theory
  13. 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
  14. Paper 2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Enhanced Data Models
  15. Paper 2 | Computer Network And Information Security: Introduction to CN, Data Communication, Application Layer, Hardware basics, Cyber Threats and Malware Attacks, Network Security, 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
  16. Paper 2 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  17. Paper 2 | Current Trends & Technologies: Emerging Tech Trends, Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms, Artificial Intelligence, Data Warehousing & Mining, Electronic Data Interchange and E-Commerce, Terms & Abbreviations
  18. Paper 2 | Full Length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture details the Division-remainder method, identified as the most popular hash function. The instructor explains that the hash table size is estimated first and then used as a divisor for each original key value. The resulting remainder is the hashed value. The slide text warns that this method is liable to produce collisions, necessitating a search mechanism to recognize and handle them. Two formulas are presented: H(K) = K(mod m) and H(K) = K(mod m) + 1. The instructor uses a whiteboard to draw a hash table and illustrate the mapping process.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins by defining the Division-remainder method. He writes the formula H(K) = K(mod m) on the screen. He draws a large vertical rectangle to represent the hash table. He labels the top index as 0 and the bottom as 9, indicating a table size of 10. He writes 'K mod 10' next to the table and draws a triangle shape below it to represent the range of possible remainders from 0 to 9, visually mapping the math to the table. He circles the formula H(K) = K(mod m) to highlight it as the primary equation. The slide text mentions extracting a quotient and a remainder.

  2. 2:00 – 2:33 02:00-02:33

    The instructor continues to reference the drawn hash table. He points to the slots labeled 1, 2, 3, etc., showing where items would be placed. He circles the formula H(K) = K(mod m) again to reinforce the concept. He briefly gestures towards the second formula H(K) = K(mod m) + 1, explaining it as an alternative that shifts the index range by one. The visual demonstration connects the mathematical modulo operation to the physical slots in the data structure. The bottom of the screen displays 'SANCHIT JAIN SIR' and 'KNOWLEDGE GATE EDUCATOR'.

The lecture provides a clear visual and mathematical explanation of the Division-remainder method. By drawing a table of size 10 and writing 'K mod 10', the instructor concretely shows how the modulo operator restricts hash values to the valid index range. The emphasis on the formula H(K) = K(mod m) and the warning about collisions provides a complete overview of this fundamental hashing technique.

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