Definition

Noun: A positional representation system is a system for writing numbers where the value of a digit is determined not only by its own symbol but also by its position within the entire sequence of digits. The value of each position is a fixed multiple (the base or radix) of the value of the position to its right.

Usage

The term is used in mathematics and computer science to describe the fundamental structure of common number systems. - The decimal system is a positional representation system with a base of ten. - Understanding the concept of a positional representation system is essential for learning about binary and hexadecimal numbers.

Advanced Usage

• Positional notation: This is a synonymous term often used interchangeably with "positional representation system."
  • The invention of positional notation, including the concept of zero, was a major advancement in mathematics.

Variants and Related Words

• Positional notation (n): An alternative term for a positional representation system.
• Base (n): The number of unique digits, including zero, used in a positional representation system (e.g., base 10, base 2).
• Radix (n): Another term for the base of a positional system.

Synonyms

• Place-value system
• Positional notation

Related Concepts (Not Phrasal Verbs or Idioms)

• Non-positional numeral system: A system where the position of a symbol does not affect its value (e.g., Roman numerals).
  • Unlike a positional representation system, in Roman numerals the symbol 'V' always means five, regardless of its position.

Noun

1. a numeration system in which a real number is represented by an ordered set of characters where the value of a character depends on its position