Number Base Converter 🔄

Number Systems Explained

Number systems (Base) are different ways to represent the same numerical value. While humans use Decimal (Base 10), computers and digital systems primarily use Binary (Base 2), Hexadecimal (Base 16), and Octal (Base 8).

Base Conversion Logic

Converting from Base X to Decimal involves multiplying each digit by X raised to the power of its position. Converting to Base X involves repeated division by X and tracking the remainders.

Frequently Asked Questions

Hexadecimal is a human-friendly way to represent binary code. One hex digit exactly represents 4 bits, making 8-bit bytes easy to read as two-digit hex values (00-FF).
Octal was popular in older computing systems where word sizes were multiples of 3. Today it's still used in file permissions on Unix/Linux systems (e.g., 777).