Number Converter
Base conversions, ASCII, fractions, and Roman numerals.
Interactive Converter
Base Conversion
Calculation Steps
Reference Table: Bin / Dec / Hex
| Binary | Decimal | Hex |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 10 | 2 | 2 |
| 11 | 3 | 3 |
| 100 | 4 | 4 |
| 101 | 5 | 5 |
| 110 | 6 | 6 |
| 111 | 7 | 7 |
| 1000 | 8 | 8 |
| 1001 | 9 | 9 |
| 1010 | 10 | A |
| 1111 | 15 | F |
| 10000 | 16 | 10 |
| 100000 | 32 | 20 |
| 1000000 | 64 | 40 |
| 10000000 | 128 | 80 |
| 11111111 | 255 | FF |
How Our Online Number Converter Works
Converting numbers between different bases and formats shouldn't require complex spreadsheet formulas or desktop calculators. Our free online number converter makes it incredibly simple to instantly translate values between Binary (Base-2), Octal (Base-8), Decimal (Base-10), and Hexadecimal (Base-16) systems. We also support ASCII text, Roman Numerals, and Fraction conversions!
Why Convert Number Bases?
In computer science and digital electronics, different numbering systems are used for different purposes. While humans naturally count in Decimal (Base-10), computers operate entirely in Binary (Base-2), representing all data as 1s and 0s.
- Hexadecimal (Base-16): Widely used by programmers because it provides a human-friendly shorthand for binary. It's heavily used in HTML color codes (like #FF0000), MAC addresses, and memory addresses.
- Octal (Base-8): Historically used in older computing systems and still relevant for UNIX file permissions (e.g., chmod 777).
- ASCII: Essential for converting binary computer data back into readable text characters.
Real-time Step-by-Step Calculations
Unlike basic calculators that just spit out a final answer, our advanced tool shows you the step-by-step mathematical working. If you are a computer science student learning how to manually convert Decimal to Binary using the "Divide by 2" method, our tool will generate the exact calculation steps so you can learn the underlying math and verify your homework assignments.