Decimal to Binary Converter
Convert between decimal and binary number systems
Enter a positive integer
Enter binary digits (0 and 1)
Quick Reference Table (0-15)
| Decimal | Binary | Decimal | Binary |
|---|---|---|---|
| 0 | 0000 | 8 | 1000 |
| 1 | 0001 | 9 | 1001 |
| 2 | 0010 | 10 | 1010 |
| 3 | 0011 | 11 | 1011 |
| 4 | 0100 | 12 | 1100 |
| 5 | 0101 | 13 | 1101 |
| 6 | 0110 | 14 | 1110 |
| 7 | 0111 | 15 | 1111 |
About Decimal and Binary Conversion
The decimal system (base 10) is the standard number system we use in everyday life, using digits 0-9. The binary system (base 2) is fundamental to computing and digital electronics, using only 0 and 1.
Converting between decimal and binary helps understand how computers process and store information. Each binary digit (bit) represents a power of 2, and combinations of bits can represent any decimal number.
This converter shows you the step-by-step process of conversion in both directions. Understanding binary is essential for computer science, programming, and digital systems.