PPT ON NUMBER SYSTEM

1. Computer Number
Systems
Discover the fascinating world of computer number systems, including
decimal, binary, octal, and hexadecimal. Learn about conversions and
applications in this comprehensive guide.

2. Decimal Number System
1 Base-10
The most commonly used number
system in everyday life, utilizing digits
0-9.
2 Positional Notation
Each digit's positional value is
determined by its place in the number.
3 Used in Arithmetic
This system is essential for performing calculations and representing real-world quantities.

3. Binary Number System
1 Base-2
Consists of only two digits: 0 and 1.
2 Used in Computers
Binary digits (bits) are the foundation
of all computer operations.
3 Logic and Data Storage
Binary is ideal for representing logical operations and storing data in memory.

4. Octal Number System
1 Base-8
Uses digits 0-7.
2 Compact
Representation
Octal is often used to
represent binary
numbers conveniently.
3 File Permissions
In Unix-like operating
systems, octal numbers
are used to represent
file permissions.

5. Hexadecimal Number System
1 Base-16
Consists of digits 0-9 and letters A-F
to represent values 10-15.
2 Compact and Human-Friendly
Hexadecimal provides a concise
representation of binary values.
3 Color Codes
Hexadecimal is commonly used in web design to specify colors.

6. Conversion Between Number Systems
1 Decimal to Binary
Convert a decimal number to its binary equivalent using repeated division.
2 Binary to Hexadecimal
Group binary digits in sets of four and replace each set with the corresponding
hexadecimal digit.
3 Octal to Decimal
Each octal digit represents three binary digits, convert to binary and then to decimal.

7. Applications of Different Number Systems
Computer Architecture
Binary is fundamental to the internal working
of computers and microprocessors.
Data Encryption
Hexadecimal numbers play a crucial role in
cryptographic algorithms.
Data Representation
Different number systems are used to
represent various types of data in databases
and computer systems.
Networking
IP addresses are typically represented using
the dot-decimal notation, a decimal-based
system.

8. Summary and Conclusion
Understanding computer number systems is essential for anyone working with computers, from
computer scientists to software engineers. It forms the foundation of digital computation and data
manipulation.