Binary Converter
Convert binary numbers to decimal or decimal numbers to binary instantly with this free online converter.
Binary and decimal converter
Conversion type
Enter only 0 and 1. Spaces between binary digits are accepted.
Binary conversion examples
These examples show how common binary values correspond to decimal numbers.
| Binary | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 1010 | 10 |
| 110101 | 53 |
| 11111111 | 255 |
How to use the Binary Converter
- Choose Binary to Decimal or Decimal to Binary.
- Enter your number in the input field.
- Review the converted result, which updates as you type.
- Use Copy to copy the result to your clipboard.
- Use Swap Conversion to reverse the conversion using the current result.
What is binary?
Binary is a base-2 number system that uses only two digits: 0 and 1. Digital computers use binary because electronic systems can represent information using two distinct states.
Each position in a binary number represents a power of two. For example, 110101 can be expanded as 32 + 16 + 4 + 1, which equals decimal 53.
Binary conversion is commonly used when learning computer science, working with digital systems, reading low-level data, or understanding how numbers are represented inside computers.
How binary conversion works
Binary to decimal
Starting from the right, each binary digit represents a power of two. Multiply each digit by its corresponding power of two and add the values together.
Decimal to binary
A decimal whole number can be converted to binary by repeatedly dividing it by two and recording the remainders. Reading the remainders from bottom to top produces the binary representation.
Binary Converter features
Two-way conversion
Convert between binary and decimal numbers in either direction.
Large whole numbers
Uses JavaScript BigInt so large whole-number values can be converted without relying on floating-point arithmetic.
Instant conversion
The result updates automatically while you enter a valid number.
Copy and swap
Copy the result or swap the conversion direction to continue working with the converted value.
Common uses for binary conversion
- Computer science and programming exercises
- Learning number systems and place values
- Digital electronics and computer engineering
- Understanding binary data representation
- Checking binary and decimal values during development
Browser-based conversion
The conversion calculations are performed in your web browser. The tool does not need to send the number to a conversion service to calculate the result.
As with any online service, other website features such as analytics or standard browser behavior may operate separately from the calculator itself. See the ToolNoveHub Privacy Policy for more information about site-wide data handling.
Binary Converter FAQ
What is 110101 in decimal?
Binary 110101 is decimal 53.
Can I convert large numbers?
Yes. The converter uses JavaScript BigInt for whole-number conversion, allowing it to handle values beyond the normal JavaScript Number safe integer range.
Can I enter spaces in a binary number?
Yes. Spaces are removed before a binary value is validated, so values such as 110 101 can be converted.
Does this converter support negative numbers?
No. This tool is designed for non-negative whole numbers and unsigned binary values.
Is the conversion performed in the browser?
Yes. The conversion logic runs in the browser, without requiring the number to be submitted to a separate conversion API.