Number Base Converter
Convert numbers between different bases (decimal, binary, octal, hexadecimal) with this free online tool.
How to Use the Number Base Converter
- Select the base of your input number (decimal, binary, octal, or hexadecimal)
- Enter the number you want to convert
- Select the base you want to convert to
- The result will be displayed automatically
- Click the copy button to copy the result to your clipboard
About Number Bases
Binary (Base 2)
Binary is a base-2 number system that uses only two digits: 0 and 1. It's the foundation of digital computing and is used to represent all data in computers.
Octal (Base 8)
Octal is a base-8 number system that uses the digits 0 through 7. It was commonly used in computing as a more compact way to represent binary data.
Decimal (Base 10)
Decimal is the standard base-10 number system that we use in everyday life. It uses the digits 0 through 9.
Hexadecimal (Base 16)
Hexadecimal is a base-16 number system that uses the digits 0-9 and the letters A-F (or a-f) to represent values 10-15. It's commonly used in computing to represent binary data in a more human-readable format.
FAQs
Why do we use different number bases?
Different number bases are useful for different contexts. Binary is fundamental to computing, hexadecimal provides a more compact way to represent binary data, and decimal is intuitive for human calculations.
What are some common uses for different bases?
Binary is used in digital circuits and computer memory. Hexadecimal is used for color codes in web design (e.g., #FF5733), memory addresses, and representing binary data in a more readable form. Octal was historically used in some computing contexts.
How do I know if a number is in a specific base?
Numbers are often prefixed to indicate their base: 0b or 0B for binary (e.g., 0b1010), 0 for octal (e.g., 0777), and 0x or 0X for hexadecimal (e.g., 0xFF). Without a prefix, numbers are typically assumed to be in decimal.