Basics of Number System Part-1

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. 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
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References, OOPS with Java, Generic & Collections
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. 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
  9. 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, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | 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
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, 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), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a foundational overview of number systems, beginning with the core concept that the main idea is counting and representing quantity. The instructor starts by explaining 'Unary counting,' the most primitive method used in the Stone Age and even today, which relies on fingers and tools like the abacus. He illustrates the limitations of this system when dealing with large quantities, such as in business or research, using a vivid example of a truck dumping coins. The lecture then transitions to the decimal system (Base 10), explaining its prevalence due to human anatomy (10 fingers) and its historical use across various cultures like Indian, British, and Roman. The instructor demonstrates the place value concept using the number 723. Finally, the video touches upon the historical contributions of the Indian mathematician Aryabhata and concludes with a structured classification of number systems into those used in real life versus those used in computer science, specifically Binary, Octal, and Hexadecimal.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The session opens with a slide titled 'Basics,' stating that the 'Main idea in number system is counting and representation of quantity.' The instructor introduces the concept of 'Unary counting,' noting it was used in the Stone Age and is still the basic idea today. He prompts the audience to remember how they started counting on fingers and using an abacus. Visual aids include a photo of a young boy counting on his fingers and another of a child holding an abacus. The instructor poses a critical question: 'How can we use it for counting sheep or anything?' This sets the stage for understanding why more complex systems are needed beyond simple one-to-one correspondence. The visual focus remains on these primitive counting methods to establish a baseline for the student.

  2. 2:00 – 5:00 02:00-05:00

    The instructor explains that for larger quantities in day-to-day life, business, or research, the unary system is impractical. To demonstrate this, he displays an image of a dump truck unloading a massive pile of coins, with the caption 'Samsung pays Apple $1 Billion sending 30 trucks full of 5 cent coins.' This visual emphasizes the absurdity of counting individual coins for large sums. He then introduces the 'decimal system' as the next popular system used in real life. He attributes this to having '10 fingers on over hands' and notes that different cultures, including Indian, British, Roman, and Arabic, have used base 10 for general purpose counting. On the whiteboard, he writes the number '723' and breaks it down mathematically as $7 imes 10^2 + 2 imes 10^1 + 3 imes 10^0$, which equals $700 + 20 + 3 = 723$. This serves as a concrete example of place value in the decimal system.

  3. 5:00 – 8:54 05:00-08:54

    The lecture shifts to the history of mathematics, specifically highlighting the Indian contribution. The slide states, 'Thought Aryabhata (3500 years back) was the first one known to extensively worked on the idea of zero, pie, number system, trigonometry, quadratic equations, astronomy etc.' The instructor mentions that in Indian culture, complex math was worked on from early times, and Aryabhata was likely the first to properly write and publish his understanding. Images of Aryabhata are shown. The video concludes with a flowchart diagram classifying 'Number System' into two main branches: 'Real life' and 'Computer Science.' Under 'Real life,' it lists 'Unary (Base 1)' and 'Decimal (Base 10).' Under 'Computer Science,' it lists 'Binary (Base 2),' 'Octal (Base 8),' and 'Hexadecimal (Base 16).' The instructor points to these boxes to categorize the systems discussed.

The video effectively guides the student from the primitive origins of counting to the structured classification of modern number systems. It establishes that while unary counting is the foundation, it is insufficient for large-scale operations, necessitating the decimal system which is deeply rooted in human anatomy and history. The inclusion of Aryabhata provides cultural context for the development of these mathematical concepts. Finally, the flowchart synthesizes this knowledge by distinguishing between systems used in daily life and those essential for computer science, providing a clear roadmap for further study in number systems.

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