Computer-Number-Systems (1).ppt FCIT HG x
- 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.