binary number system
Definition
Noun: A system for representing numbers using only two distinct digits, typically 0 and 1. It is a positional numeral system with a base, or radix, of two. Each digit position represents a power of two.
Usage
The term "binary number system" is used to describe the fundamental numbering scheme at the heart of digital electronics and computing. * All data in a modern computer is ultimately processed using the binary number system. * Understanding the binary number system is essential for computer programming at a low level. * The conversion from decimal to the binary number system involves repeated division by two.
Advanced Usage
- In Computing: The system is the basis for all machine code and digital circuit logic (where 0 often represents 'off' or 'false' and 1 represents 'on' or 'true').
- In Mathematics: Referred to as a base-2 system, contrasting with the common decimal (base-10) system.
Variants and Related Words
- Binary System: A common shortened form with identical meaning.
- Base-2 System: A synonym emphasizing the radix.
- Binary Notation: Refers specifically to the symbolic representation of numbers within this system.
- Boolean Algebra: A related algebraic system dealing with binary variables and logic operations.
Synonyms
- Base-2 system
- Binary numeral system
Related Phrases
- Binary Digit: A single digit in the binary number system, abbreviated as bit.
- Binary Code: A coding system using the binary number system to represent text or processor instructions.
Noun
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a positional system of numeration that uses binary digits and a radix of two
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