number system with diffrencent types of its

NUMBER SYSTEM

1. NUMBER SYSTEM AND CONVERSION PRESENTED BY: KRISH SHRESTHA ADARSH BISTA NABIN BAM

2. Acknowledgement Computer Department Mr Dhirendra Fauzdar ECA Department Mr Jay Gaudel

3. Table Of Contents

4. History The concept of a number system has evolved over time, and it doesn't have a single inventor. Different cultures and civilizations contributed to the development of various number systems.

5. Introduction to Number System Number systems form a fundamental concept in mathematics offering symbols and rules for representing and manipulating quantities. Number systems are comprised of a set of symbols that are used to represent different numerical values. Specific rules dictate how symbols combine to represent numbers. Different systems (e.g., decimal, binary) cater to diverse mathematical needs.

6.   Comparison of Number Systems Number system Base Digits Application Binary 2 0-1 computer system, digital electronics Decimal 10 0-9 Computer programming, mathematics Octal 8 0-7 File permission and networking Hexadecimal 16 0-9 and A-F Colour representation and memory addressing

7. Data Representation in Computers Memory Management Networking and Communication Cryptography Education and Understanding Problem Solving Importance

8. Binary Number System The binary number system is a base-2 number system that uses only two digits: 0 and 1. Each 0 or 1 is a 'bit' (binary digit).

9. Uses of Binary Number System Computers Digital Electronics Telecommunications Internet

10. Decimal Number System It uses ten digits (0-9) for representing numbers. Separates whole numbers from fractions in a decimal. Decimal numbers can be positive, negative or zero. Also known as the base-10 system. Most commonly used in everyday life.

11. Uses of Decimal Number System Main system for counting and math operations. Used in banking and accounting for financial transactions. Applied in measurements such as length, weight, and volume. Represents time, temperature, and practical quantities.

12. Octal Number System Octal is a base-8 number system using digits 0-7. Commonly used in computer programming to represent and handle binary data. Octal numbers denote file permissions for owner, group, and others.

13. Uses of Octal Number System File Permissions Unix Timestamp Digital Electronics Networking Machine Code

14. Hexadecimal Number System Hexadecimal (hex) is a base-16 number system. Uses 0-9 and A-F Widely used in computing and digital systems. A-F represent 10-15 Used for memory addresses machine instructions

15. Uses of Hexadecimal Number System Binary Data Handling Color Codes Memory Addresses

16. Applications of Number System

17. Conclusion Number systems are the building blocks of math. Used in daily life, science, technology, and engineering. Essential for logical thinking, problem-solving, and data interpretation. Used in coding, finance, physics, and cryptography .

18. References https://www.splashlearn.com/math-vocabulary/number-sense/number-system https://www.geeksforgeeks.org/what-is-a-number-system/