Welcome to the Number System Calculator & Converter

About Number Systems

Number systems are ways to represent numbers using a set of symbols. The most common types are:

• Binary (Base 2): The binary system uses only two digits: 0 and 1. This is the fundamental language of computers. Each position represents a power of 2. Use our binary calculator above to see it in action.
• Octal (Base 8): The octal system uses eight digits (0-7). It was historically used in computer systems but is less common today, though still relevant in some file permissions and older systems.
• Decimal (Base 10): The decimal system is the one we use every day. It uses ten digits (0-9). Each position in a number represents a power of 10.
• Hexadecimal (Base 16): The hexadecimal system uses 16 symbols: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15). It's widely used in programming and web design (e.g., for colors) as a more human-readable way to represent binary data.

Number System Calculators

Choose a number system and operation to perform calculations with detailed steps.

Number System Converter

Convert numbers between Binary, Octal, Decimal, and Hexadecimal with explanation.