Different number systems are used everywhere in computing and mathematics. Understanding how to convert between them is essential for programmers, engineers, and students.
Common Number Bases
| Base | Name | Digits | Used In |
|---|---|---|---|
| 2 | Binary | 0,1 | Computers, digital circuits |
| 8 | Octal | 0-7 | Unix permissions, legacy systems |
| 10 | Decimal | 0-9 | Everyday life |
| 16 | Hexadecimal | 0-9, A-F | Web colors, memory addresses |
How to Convert
Decimal to Binary (42)
1. 42 รท 2 = 21 remainder 0
2. 21 รท 2 = 10 remainder 1
3. 10 รท 2 = 5 remainder 0
4. 5 รท 2 = 2 remainder 1
5. 2 รท 2 = 1 remainder 0
6. 1 รท 2 = 0 remainder 1
Read remainders bottom-up: 42 = 101010โ
Binary to Decimal (1101)
1ร2ยณ + 1ร2ยฒ + 0ร2ยน + 1ร2โฐ = 8 + 4 + 0 + 1 = 13
Quick Conversions
| Decimal | Binary | Hex |
|---|---|---|
| 10 | 1010 | A |
| 15 | 1111 | F |
| 64 | 1000000 | 40 |
| 255 | 11111111 | FF |
| 1024 | 10000000000 | 400 |
Using Our Number Base Converter
Our Number Base Converter supports:
- Binary, Octal, Decimal, Hexadecimal
- Convert between any two bases
- Handles large numbers with precision
๐ก Pro Tip: In web development, remember that #FF0000 = red, #00FF00 = green, #0000FF = blue. These are hex values! #FFFFFF = white, #000000 = black.
*Convert number bases with our free Number Base Converter.*
