Number Converter
Convert numbers between binary, decimal, and hexadecimal.
Converted
Convert numbers between binary, decimal, and hexadecimal.
Convert numbers between binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16) number systems instantly. Understanding multiple number bases is essential for programming, computer science education, network configuration, digital electronics, and low-level system operations.
Binary (Base-2): Uses only digits 0 and 1. Fundamental to computer architecture because digital circuits have two states: off (0) and on (1). Every operation computers perform ultimately executes as binary calculations.
Octal (Base-8): Uses digits 0-7. Common in Unix file permissions (chmod 755) and historically used in computing before hexadecimal became standard. Three binary digits convert to one octal digit cleanly.
Decimal (Base-10): Standard human-readable number system using digits 0-9. Most intuitive for non-technical users but requires conversion for computer processing.
Hexadecimal (Base-16): Uses digits 0-9 and letters A-F (representing 10-15). Compact representation of binary—four binary digits equal one hex digit. Used in color codes (#FF5733), memory addresses, MAC addresses, and programming.
Programmers debug binary operations, network engineers configure subnet masks and IP addresses, web designers convert color values, computer science students learn computational fundamentals, and embedded systems engineers work with register values and bit manipulation.