Universal Base Converter & Calculator

Understanding Base Number Systems

A base number system (or positional numeral system) is a way to represent numbers using a set number of digits. The most commonly used system is base-10 (decimal), which uses ten digits (0-9). Other common bases include binary (base-2, digits 0-1), octal (base-8, digits 0-7), and hexadecimal (base-16, digits 0-9, a-f).

In a base-n system, there are 'n' unique digits to represent all numbers. For bases greater than 10, letters are used to represent digits beyond 9 (e.g., in hexadecimal, a=10, b=11, ..., f=15). This calculator supports bases from 2 (binary) up to 36 (hexatrigesimal, using 0-9 and a-z as digits).

To use the calculator, select the base you are working with, enter two numbers in that base, choose an operation, and click 'Calculate'. The result will be displayed in the selected base. For bases greater than 10, use letters (a-z) for digits 10-35.

• Example: Adding binary numbers (base-2): 101 + 11 = 1000
• Use Cases: Computer programming (binary, hexadecimal), mathematics, and various technical fields.

Learn more about base number systems on Wikipedia.