Table of Contents

    Number system

    What is a Number System?

    A number system is a way to represent numbers using a set of symbols (digits). The position of each digit gives it a weight or value depending on the base of the system.

    Common Number Systems:

    Number System Base Digits Used Example
    Binary 2 0, 1 1101₂
    Octal 8 0 to 7 745₈
    Decimal 10 0 to 9 495₁₀
    Hexadecimal 16 0–9, A–F 1F4₁₆

    Digital electronics represents discrete signals instead of signals in a continuous range. It uses two binary levels 0’s (corresponding to false) and 1’s (corresponding to true). The main reason for advancement in digital electronics is integrated circuits (ICs).

    Number system is an age old method to represent numerals (Fig. Below). Decimal number system is the most common number system and binary number system is used by computers.

    Categories of Number system
    Figure: Categories of Number system