Binary to Decimal Converter
Binary numbers to Decimal conversion
Binary to Decimal Converter
How to Convert Binary to Decimal
Multiply each digit by the weight of its place — a power of 2, 2⁰ on the right — and add the results.
Example: binary 11111111 in decimal
| 2⁷ | 2⁶ | 2⁵ | 2⁴ | 2³ | 2² | 2¹ | 2⁰ |
| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
See Also
- Decimal to Binary Converter - Decimal numbers to Binary conversion
- Hex to Decimal - Hexadecimal numbers to Decimal conversion
- Decimal to hex converter - Decimal numbers to Hexadecimal conversion
FAQ
What is a binary number?
A binary number is a value written using only the digits 0 and 1, following the base-2 positional numeral system used internally by all digital computers.
How do you convert a binary number to decimal?
Multiply each binary digit by the power of 2 that matches its position (counting from the right, starting at 0), then add all the results together.
What binary numbers can this converter handle?
This converter accepts strings of 0s and 1s up to 32 digits long, which covers decimal values up to 4,294,967,295.