Binary to Decimal Converter
Convert binary to decimal instantly. Free online tool with batch support, step-by-step explanation, and no signup required.
Result will appear here…
Binary to Decimal Conversion Examples
| Binary Input | Decimal Result |
|---|---|
| 11111111 | 255 |
| 1010 | 10 |
| 10000000 | 128 |
| 1111111111111111 | 65535 |
How to Convert Binary to Decimal
- 1Starting from the rightmost bit, assign position values: 2⁰, 2¹, 2², 2³, ...
- 2Multiply each bit by its corresponding power of 2.
- 3Sum all the products.
- 4Example: binary '1101' = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13.
Frequently Asked Questions
How do I convert binary to decimal?⌄
Multiply each binary digit by 2 raised to its position power, then add the results.
What is binary 1010 in decimal?⌄
Binary 1010 equals decimal 10 because it represents 8 + 2.
What is binary 11111111 in decimal?⌄
Binary 11111111 equals decimal 255.
Can I convert long binary values?⌄
Yes. The converter handles common binary values and batch input, but very large values may exceed JavaScript number precision.