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. Paper-1 & 2 | Basic Numeracy: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, 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. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: 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, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. 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
  19. Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर नेटवर्क / Computer Networks
  22. Paper 2 | Pedagogy: वृद्धि और विकास / Growth and Development, विकास के सिद्धांत / Theories of Development, Concept of Pedagogy, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
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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