Convert numbers between binary, octal, decimal, and hexadecimal number bases.
Number base conversion is fundamental to computer science, digital electronics, and programming. Our Number Base Converter handles conversions between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) number systems. Different number bases serve different purposes in computing. Binary is how computers store and process data internally. Hexadecimal is used in web colors, memory addresses, and debugging. Octal is legacy but still appears in Unix file permissions. Decimal is human-intuitive for everyday counting. Programmers frequently convert between number bases: debugging memory addresses and values in hexadecimal, working with binary flags and bit operations, understanding file permissions in octal notation, performing bitwise operations requiring binary understanding. The tool shows conversions between all bases simultaneously, making it easy to understand relationships and see how the same value is represented differently in different bases. Support for large numbers and both positive and negative values. Educational value for learning computer science fundamentals. Practical value for developers working with low-level operations, embedded systems, and hardware programming.
Binary (1s and 0s) directly maps to transistor on/off states, making it natural for electronic systems.
Hexadecimal is more compact than binary (one hex digit = 4 binary digits) while remaining easy to convert.
Depends on the number. For example, decimal 255 = FF in hexadecimal.
Group binary digits in sets of 4 for hex conversion, or 3 for octal. Use positional notation for precise calculation.