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 the course: About the Course
  2. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge
  5. Art of Teaching: शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, आकलन एवं मूल्यांकन / Assessment and Evaluation, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development, शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन / Educational Policies, Acts and Administration, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, निर्देशन एवं परामर्श / Guidance and Counselling, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, Micro-Teaching & Teaching Skills, पाठ योजना / Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | 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
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
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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