Number Base Converter
MathConvert instantly between binary, octal, decimal, hexadecimal, and any custom base (2–36). Type in any field and all others update in real time.
BINBase 2
Binary
OCTBase 8
Octal
DECBase 10
Decimal
HEXBase 16
Hexadecimal
Decimal: 42Bit width: 6 bitsSingle byte ✓
Bit Pattern Visualizer
0
0
1
0
1
0
1
0
1 byte = 8 bits · blue = 1, gray = 0
Custom Base
Quick Examples
Quick Reference Table (0–15)
| DEC | BIN | OCT | HEX |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 10 | 2 | 2 |
| 3 | 11 | 3 | 3 |
| 4 | 100 | 4 | 4 |
| 5 | 101 | 5 | 5 |
| 6 | 110 | 6 | 6 |
| 7 | 111 | 7 | 7 |
| 8 | 1000 | 10 | 8 |
| 9 | 1001 | 11 | 9 |
| 10 | 1010 | 12 | A |
| 11 | 1011 | 13 | B |
| 12 | 1100 | 14 | C |
| 13 | 1101 | 15 | D |
| 14 | 1110 | 16 | E |
| 15 | 1111 | 17 | F |
Click any row to load that value
Conversion Tips
- • HEX ↔ BIN: each hex digit = 4 binary digits
- • OCT ↔ BIN: each octal digit = 3 binary digits
- • 0xFF = 255 = 11111111₂ = max single byte
- • 0x10 = 16 = 10000₂ (2 to the power of 4)
Real-world Uses
- • Color codes: #FF5733 → R=255, G=87, B=51
- • IP addresses: each octet is decimal (0–255)
- • Unix permissions: chmod 755 → rwxr-xr-x
- • Memory addresses: 0x7FFF… seen in debuggers