number system
Học thuậtThân thiện
Definition
- Noun:
- A number system is a defined set of symbols and rules for using those symbols to represent numbers. It is a systematic way to write, name, and manipulate quantities.
Usage
- The term number system is used to describe the foundational method of counting and calculation in mathematics and computing.
- It is often modified by an adjective to specify the base, such as "decimal number system," "binary number system," or "hexadecimal number system."
- It functions as a countable noun (e.g., "different number systems," "a number system").
Examples
- The decimal number system, which uses ten digits (0-9), is the most common system in everyday use.
- Computers internally use the binary number system, which has only two digits: 0 and 1.
- Understanding different number systems is fundamental to computer science.
- The ancient Babylonians used a number system based on 60.
Advanced Usage
- "Positional number system": A system where the value of a digit depends on its position. The decimal and binary systems are positional.
- "Base of a number system": Refers to the number of unique digits, including zero, used in the system. For example, base-10, base-2.
Variants and Related Words
- Numeral system: A synonym for number system.
- Notation: A broader term for a system of symbols; a number system is a type of notation for representing numbers.
- Base: (in this context) The fundamental number that defines a number system (e.g., base ten).
Synonyms
- Numeral system
- System of numeration
Related Concepts (Not Phrasal Verbs or Idioms)
- Digit: A single symbol used in a number system.
- Place value: The value of a digit based on its position within a number, a key concept in positional number systems.
- Radix: Another term for the base of a number system.
Noun
- any notation for the representation of numbers