Definition

1. Noun:
   • A system of symbols or rules used to express numerical values: A "number representation system" is a formal method or convention for denoting numbers. It defines how numeric quantities are written down using a specific set of symbols (like digits) and rules for their arrangement.

Examples of Usage

• Noun:
  • The decimal system is the most common number representation system in the world.
  • Computers internally use the binary number representation system.
  • Ancient civilizations developed their own unique number representation systems.

Advanced Usage

• Formal Context: The term is frequently used in mathematics, computer science, and historical studies to compare different numerical notations.
  • The paper compares the efficiency of various number representation systems for arithmetic operations.

Variants and Related Words

• Numeral system (n): A synonym often used interchangeably with "number representation system."
  • The Roman numeral system is a well-known historical example.
• Notation (n): A broader term for a system of written symbols; a number representation system is a type of notation.
  • The scientific notation is a compact way to represent very large or small numbers.

Synonyms

• Numeral system
• System of numeration
• Notation for numbers

Related Phrases

• Positional notation: A common type of number representation system where the value of a digit depends on its position (e.g., decimal, binary).
• Non-positional notation: A type of number representation system where symbols have fixed values regardless of position (e.g., Roman numerals).

Noun

1. any notation for the representation of numbers