Problem Solving using C Language

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Introduction to Computers

Number System

A numeral system, or system of numeration, refers to a structured method of representing numbers through the use of digits or symbols according to specific rules. In mathematics, a number system establishes the framework for expressing, interpreting, and performing operations on numbers. Each system is characterised by its base , which defines the positional value and structure of the numbers it represents.

The value of each digit in a number can be determined using −

  • The digit
  • The position of the digit in the number
  • The base of the number system (where the base is defined as the total number of digits available in the number system)

Interactive Numeral Systems Explorer

Real-Time Number Converter

Enter a number in any box to see it converted instantly.

Learn About Each System

Comparing the Systems

The “base” of a system is the number of unique digits it uses. This chart shows the base for each system, highlighting their relative complexity.