Binary / Hex / Decimal Converter
Convert numbers between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).
The Binary / Hex / Decimal Converter converts numbers between the four most common number bases used in computing and mathematics.
Number Bases
- Binary (Base 2): Uses digits 0-1. Foundation of digital computing. Example: 11111111
- Octal (Base 8): Uses digits 0-7. Used in Unix file permissions. Example: 377
- Decimal (Base 10): Uses digits 0-9. Standard human number system. Example: 255
- Hexadecimal (Base 16): Uses 0-9 and A-F. Used for colors, memory addresses. Example: FF
How to Use
Enter a number in any base, select which base it is in, and the tool instantly converts to all other bases. For hexadecimal input, use uppercase letters (A-F). All four representations of the same value are shown simultaneously. This tool is essential for programmers, networking professionals, and computer science students.
Frequently Asked Questions
How do I read binary numbers?
Binary is base 2. Each digit represents a power of 2 from right to left: 1, 2, 4, 8, 16, 32... For example, binary 1010 = 8+0+2+0 = 10 in decimal.
Why is hexadecimal used in computing?
Hexadecimal is compact: each hex digit represents exactly 4 binary bits. So a byte (8 bits) is always 2 hex digits. This makes it much easier to read than long binary strings.
What are common hex values I should know?
FF = 255 (max byte value), 00 = 0, FFFFFF = white (in CSS colors), 000000 = black, 7F = 127 (signed byte max).