Decimal to Binary Calculator
Convert decimal numbers to binary with our free online calculator. Get instant results with step-by-step conversion.
Decimal to Binary Calculator
Database content available
Choose Conversion Type
From
Decimal
Base 10
To
Binary
Base 2
Enter Number to Convert
Valid characters: 0-9
Binary (Base 2)
Digits: 0, 1
Example: 1010₂ = 10₁₀
Uses: Computer systems, digital electronics
Decimal (Base 10)
Digits: 0-9
Example: 42₁₀ = 101010₂
Uses: Everyday counting, mathematics
Octal (Base 8)
Digits: 0-7
Example: 52₈ = 42₁₀
Uses: Unix file permissions, old computers
Hexadecimal (Base 16)
Digits: 0-9, A-F
Example: 2A₁₆ = 42₁₀
Uses: Memory addresses, color codes, programming
Quick Reference: Number Base Conversions
| Decimal | Binary | Octal | Hexadecimal |
|---|---|---|---|
| 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 |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 31 | 11111 | 37 | 1F |
| 32 | 100000 | 40 | 20 |