A presentation about number system

1. Understanding the Number
System
Foundation of all Digital Computation

2. Introduction to Number System
• A number system is a writing system for
expressing numbers. It is the foundation of all
digital computation and helps in
understanding how data is represented in
computers.

3. Types of Number Systems
• - Binary (Base-2)
• - Octal (Base-8)
• - Decimal (Base-10)
• - Hexadecimal (Base-16)

4. Binary Number System
• Binary system uses only two digits: 0 and 1. It
is used by computers to represent all types of
data and instructions.

5. Octal and Hexadecimal Systems
• Octal: Base-8, digits 0-7
• Hexadecimal: Base-16, digits 0–9 & A–F
• Used in computer systems for simplified
binary representation.

6. Converting Between Number
Systems
• Example: Convert Decimal 25 to Binary
• Step 1: 25 ÷ 2 = 12 remainder 1
• Step 2: 12 ÷ 2 = 6 remainder 0
• Step 3: 6 ÷ 2 = 3 remainder 0
• Step 4: 3 ÷ 2 = 1 remainder 1
• Step 5: 1 ÷ 2 = 0 remainder 1
• Result: 11001

7. Binary Addition Example
• Example: 1010 + 0101
• Step-by-step addition with carryover:
• 1010
• + 0101
• ------
• 1111

8. Real-Life Applications
• Number systems are used in:
• - Computer systems
• - Programming
• - Network addressing
• - Embedded systems

9. Fun Quiz
• What is 1111 in Decimal?
• A) 14
• B) 15
• C) 16
• Click to reveal: Answer is B) 15

10. Summary
• - Number System Definition
• - Binary, Octal, Decimal, Hex
• - Conversions
• - Applications

11. Thank You!
• Keep Exploring the World of Numbers!