- Lesson-1
- Real Number
- introduction
- Number system
- Complete theory
- And concepts
- Exersise 1.1 to1.4
- A number system is a structured way to represent numbers using symbols (digits) and rules, with common types including Decimal (base-10, 0-9) for daily use, Binary (base-2, 0-1) for computers, Octal (base-8, 0-7), and Hexadecimal (base-16, 0-9, A-F) for shorthand in computing, all based on a positional value system where a digit's location determines its weight (e.g., ones, tens, hundreds place). Key Types of Number Systems Decimal (Base-10): Our everyday system, using digits 0 through 9. Binary (Base-2): Uses only 0 and 1; fundamental for computers as electronic circuits easily represent these states. Octal (Base-8): Uses digits 0-7; efficient shorthand for binary (3 bits per octal digit). Hexadecimal (Base-16): Uses 0-9 and A-F (10-15); compact shorthand for large binary numbers (4 bits per hex digit). Core Concepts Base (Radix): The total number of unique digits in a system (e.g., base 10, base 2). Positional Value: Each digit's value depends on its position (place value), determined by powers of the base (e.g., \(10^{0},10^{1},10^{2}\) in decimal). Zero: A crucial placeholder digit that indicates the absence of value in a position. Number Systems in Computing Computers use binary internally, but octal and hexadecimal are used for readability and efficiency, converting long binary strings into shorter, manageable forms, making data representation, storage, and debugging easier.
View this Course
Top Tutor
Certified
You have 
