Base 2 Conversion Directly

Duration: 4 min

This video lesson is available to enrolled students.

Return to /learn/RSSB-BASIC-COMPUTER-INSTRUCTOR/paper-2-computer-organization-and-architecture/number-system/binary-octal-hex/asset-base-2-conversion-directly after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Percentage, Average, Mensuration and Geometry, Age Problems, Arithmetic, Statistics, Probability, Profit and Loss, Simple Interest and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, Powers and Exponents (Surds and Indices), Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy
  3. Paper-1 & 2 | Data Interpretation: 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: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Analogy, Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Arrangement, Logical Sequence Of Words, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: Selection Decision Table (Decision Making)
  7. Paper-1 | General Science: Physics, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: State Wise GK, GK- 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, Artificial Intelligence
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications
  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
  22. Paper 2 | Pedagogy: Child Development, Theories, Concept of Pedagogy, Inclusive Education, Experiential Pedagogy, Assessment & Evaluation, Psychology, Curriculum Framework & Reforms, 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 lecture demonstrates the conversion between number systems, specifically focusing on transforming an octal number into binary and then into hexadecimal. The instructor begins by establishing the mathematical relationship between powers of 2 and the bases of these number systems. He writes down key powers of 2, such as $2^3=8$ and $2^4=16$, to justify grouping binary digits into sets of three for octal and sets of four for hexadecimal. The core of the lesson involves a step-by-step worked example where an octal number is expanded into its binary representation and then regrouped to find its hexadecimal equivalent.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the concept of number system conversion by writing powers of 2 on the whiteboard, specifically highlighting $2^3=8$ and $2^7=16$. He writes an octal number $(574314)_8$ and explains that each octal digit corresponds to a group of three binary bits. He proceeds to convert each digit individually: 5 becomes 101, 7 becomes 111, 4 becomes 100, 3 becomes 011, 1 becomes 001, and the final 4 becomes 100. This creates a continuous binary string: 101 111 100 011 001 100.

  2. 2:00 – 4:29 02:00-04:29

    The lecture transitions to hexadecimal conversion using a slide that displays conversion tables for Base 4, Octal, and Hexadecimal systems. The instructor explains that hexadecimal uses groups of four bits because $2^4=16$. He returns to the whiteboard and groups the previously generated binary string into sets of four bits, starting from the decimal point. The integer part groups into 1011 (B), 1110 (E), and 0011 (3). The fractional part groups into 0011 (3). He writes the final hexadecimal result as $(BE3.3)_{16}$, demonstrating the direct mapping from binary groups to hexadecimal digits.

The video provides a clear, practical demonstration of number system conversions. It starts by grounding the theory in the powers of 2, showing why octal uses 3-bit groups and hexadecimal uses 4-bit groups. The instructor then applies this theory to a specific example, $(574314)_8$. First, he expands the octal digits into their 3-bit binary equivalents to form a long binary string. Next, he re-groups these bits into 4-bit chunks to convert the number into hexadecimal. This two-step process (Octal -> Binary -> Hexadecimal) serves as a reliable method for converting between bases that are powers of 2, avoiding complex arithmetic division or multiplication.

Loading lesson…