Counting in Binary
Each place value doubles as you move left: 1, 2, 4, 8, 16…
| Decimal | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
Fundamentals: Binary Numbers
Binary is the base-2 number system, using only 0s and 1s. It underpins all computer systems.
Why Computers Use Binary
Binary represents two states (on/off, high/low voltage) that match the physical nature of electronic circuits. Every number, text character, or image in a computer is ultimately stored as binary.
Binary Conversion
You can convert between decimal and binary by repeatedly dividing by 2 (for decimal → binary) or multiplying powers of 2 (for binary → decimal).
Binary ↔ Denary Converter
Binary to Denary
Denary to Binary
Binary Addition Stepper
Carry:
A:
B:
Result:
Enter numbers and press Load