Number Systems
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27 Terms
Number System
a mathematical framework used to represent numbers. In computer organization, number systems define how numbers are stored, processed, and communicated within a computing device.
Binary Number System
it uses two digits: 0 and 1.
Binary Number System
•Each digit’s place value is a power of 2
Binary Number System
the foundation for data representation in computers and digital electronics.
Binary Number System
•Used in computer memory (RAM, ROM, Hard Drives, etc.).
Binary Number System
•Essential for logical and arithmetic operations in processors.
Binary Number System
•Forms the basis of machine language.
Octal Number System
base-8 number system
Octal Number System
•0, 1, 2, 3, 4, 5, 6 and 7.
Octal Number System
•Each digit’s place value is a power of 8
Octal Number System
•It is often used to simplify the representation of binary numbers by grouping them into sets of three bits
Octal Number System
•Used in digital electronics and computing.
Octal Number System
•Simplifies binary representation in microprocessors.
Decimal Number System
•base-10 number system.
Decimal Number System
: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Decimal Number System
•Each digit’s place value is a power of 10
Decimal Number System
•It is the standard system for everyday counting and calculations.
Decimal Number System
•Used in human-centric computations.
Decimal Number System
•Commonly used in input/output (I/O) systems.
Decimal Number System
•Displayed on monitors and interfaces.
Hexadecimal Number System
•a base-16 number system.
Hexadecimal Number System
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F (where A = 10, B = 11, etc.)
Hexadecimal Number System
•Each digit’s place value is a power of 16
Hexadecimal Number System
simplifies binary by representing every 4 bits as one digit (0-F).
Hexadecimal Number System
Used in programming (memory addressing, color coding, error codes
Hexadecimal Number System
•Commonly found in computer networking (MAC addresses, IP addressing).
Hexadecimal Number System
•Helps in debugging low-level programming