Binary

Binary to Decimal Converter

Details

How to use Binary to Decimal Converter

What the tool does, how to run it, and what to expect from the result.

How to convert binary to decimal

Paste or type the binary digits into the input box and the decimal value appears immediately. There is no convert button and no network request, the arithmetic runs in the page as you type.

The parser accepts an optional 0b prefix and an optional minus sign, and it converts several whitespace-separated values in one pass. Everything runs on arbitrary-precision integers, so long binary strings are exact rather than rounded.

  • Type or paste the binary digits, for example 1010.
  • Read the decimal result in the output box as you type.
  • Paste multiple values separated by spaces or new lines to convert a whole column.
  • If the source is a signed value, subtract 2 to the power of the width when the top bit is set.
  • Press Copy result to take the decimal output away.
Tips

Getting a better result out of Binary to Decimal Converter

Specific settings and thresholds, not general advice.

  • Every position is a power of two, read from the right: 1010 is 8 + 0 + 2 + 0, which is 10. 1111 is 8 + 4 + 2 + 1, which is 15.
  • Width ceilings worth memorising: 8 bits reach 255 (11111111), 16 bits reach 65,535, and 32 bits reach 4,294,967,295.
  • There is no two's complement here. 11111111 converts to 255, not -1. If your source is a signed 8-bit value with the top bit set, subtract 256 from the result yourself.
  • Parsing uses arbitrary-precision integers, so a 64-bit binary string converts exactly. A plain JavaScript number would start losing precision above 9,007,199,254,740,991.
  • A leading 0b prefix is accepted and stripped, a leading minus sign is honoured, and several binary values separated by spaces or commas convert as a batch.
Limits

What Binary to Decimal Converter does not do

The honest boundary, so you do not lose time finding it yourself.

  • Integers only. A binary fraction such as 1010.11 errors, because the dot is not a valid binary digit.
  • No two's complement or signed-width interpretation, and no bit-width selector.
  • No bitwise operations, no shifts, and no masks.
  • Only 0 and 1 are accepted, so any other character stops the conversion and names the offending digit.
At a glance

Who Binary to Decimal Converter is for

A quick way to understand who this helps, what it solves, and where it connects next.

Best fit

Developers, students, and engineers who need a quick, reliable binary to decimal converter.

Ideal for

Fast Binary to Decimal conversion without a backend, install, or sign-up.

FAQ

Common questions

Short answers for the questions people usually have before trying a utility like this.

Does my data get uploaded anywhere?

No. Everything runs locally in your browser and nothing is sent to a server.

Is this free to use?

Yes. It is completely free, with no account, no signup, and no usage limits.

Does it work on a phone?

Yes. The page runs in any modern mobile browser, on iPhone and Android alike, with no app to install.

How do I read a binary number by hand?

Label the digits from the right with 1, 2, 4, 8, 16 and so on, then add up the place values where the digit is 1. For 1010 that is 8 and 2, which gives 10. The tool does the same thing, only with arbitrary-precision arithmetic so it never overflows.

Why does 11111111 give 255 instead of -1?

Because the converter treats the input as an unsigned magnitude. Two's complement only has meaning once you fix a width, and this tool has no width. If you know the value is a signed 8-bit byte with the top bit set, subtract 256: 255 - 256 gives -1.

What is the biggest number 8, 16 and 32 bits can hold?

Unsigned, they hold 255, 65,535 and 4,294,967,295 respectively, which are 11111111, sixteen ones, and thirty-two ones. Signed, using two's complement, the ranges are -128 to 127, -32,768 to 32,767, and about plus or minus 2.15 billion.

Can I convert a binary fraction like 1010.11?

No. The parser accepts integers only, so the decimal point is reported as an invalid binary digit. Convert the integer part here and handle the fractional bits separately, where each place after the point is 0.5, 0.25, 0.125 and so on.

Does it handle 64-bit values without losing precision?

Yes. Parsing runs on arbitrary-precision integers rather than floating-point numbers, so a full 64-bit binary string converts exactly. Doing the same in a spreadsheet or with a plain JavaScript number would silently round anything above 9,007,199,254,740,991.

Can I paste several binary numbers at once?

Yes. Separate them with spaces, commas, or new lines and each is converted independently. The output keeps the same order, so a column of binary values comes back as a column of decimals.

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