Binary to Decimal Converter
Convert a binary number to its decimal value, with hexadecimal and octal readouts.
Converted live as you type. Spaces are ignored. Everything runs in your browser.
Display
Result
How to convert binary to decimal
Enter a binary number
Type or paste a string of 0s and 1s into the input. Spaces between groups are ignored.
Read the decimal value
The decimal result appears instantly, along with hexadecimal and octal versions.
Copy a result
Copy the decimal value or any of the other bases with one click.
Why use this tool
Decimal, hex, and octal
Every binary number is shown in base 10, base 16, and base 8 at once so you do not need a second tool.
Handles very large numbers
Long binary strings convert exactly without losing precision, so 64-bit and larger values stay correct.
Grouped bit view
An optional toggle groups the binary readout into 4-bit nibbles so long values are easier to read.
Live and forgiving
Conversion happens as you type and spaces are ignored. Invalid characters produce a clear message instead of a wrong answer.
Private by design
All conversion runs on your device. Nothing you type leaves the page. No upload, no signup.
About this tool
Binary is base 2, using only the digits 0 and 1, and it is how computers store every number underneath. Reading it back as a familiar base 10 number by hand means adding up powers of two, which is slow and error prone. This converter does it instantly: type a binary string and read the decimal value the moment you stop.
Alongside decimal, the tool shows the same value in hexadecimal and octal, the two other bases programmers use most. That makes it a quick way to cross-check a bitmask, a color value, or a permission flag without opening a calculator. An optional grouped view splits the binary into 4-bit nibbles, which lines up neatly with hex digits.
Very large binary strings are handled exactly, so there is no precision loss even well beyond 64 bits. Spaces are ignored, so you can paste grouped input directly. To go the other way, use the decimal to binary converter, and for base 16 see the hex to decimal converter or the full number base converter.
Frequently asked questions
- How do I convert binary to decimal?
- Each binary digit represents a power of two. Adding the values of the 1 bits gives the decimal number. This tool does that automatically as you type, so 1010 becomes 10.
- Can I convert very long binary numbers?
- Yes. The converter handles arbitrarily long binary strings without losing precision, so large 64-bit and bigger values stay exact.
- What happens if I enter something that is not binary?
- Any character other than 0 or 1 triggers a short error message rather than a wrong result. Spaces are allowed and simply ignored.
- Does it also show hex and octal?
- Yes. Every binary value is shown in decimal, hexadecimal, and octal at the same time, each with its own copy button.
- Is my data sent anywhere?
- No. Every calculation happens on your device as you type. Nothing is uploaded and no account is needed.
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