Binary to Decimal Converter
Convert any binary number to decimal instantly — with the full step-by-step working shown. Free, fast, no sign-up.
Only 0s and 1s allowed.
Decimal result
Step-by-step
| Bit | Position | Value (2n) | Contribution |
|---|
How to convert binary to decimal
- Write down the binary number and number each digit's position from right to left, starting at 0.
- Multiply each digit (0 or 1) by 2 raised to the power of its position.
- Add all the results together — that's your decimal number.
Example: 1011₂ = (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = 8 + 0 + 2 + 1 = 11.
Quick reference table
| Binary | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1010 | 10 |
| 1111 | 15 |
| 10000 | 16 |
Frequently asked questions
How do I convert binary to decimal?
Multiply each binary digit by 2 raised to its position power (from 0 at the right) and sum the results. Or just use the converter above — it shows every step.
What is 1010 in decimal?
1010₂ = 10 in decimal.
Can this converter handle large binary numbers?
Yes — it supports binary numbers of any length, including 32-bit, 64-bit and longer, with full precision.
Need the reverse? Try our decimal to binary converter.