Method
Positional notation sums each digit multiplied by 2 raised to its place index. Conversion uses arbitrary-precision integers.
Math worksheet
Binary Converter
Convert a binary integer exactly into decimal, binary, hexadecimal and octal representations.
The calculation runs locally. Exact-integer tools avoid floating point; decimal and transcendental tools report rounding limits.
Method and verification guide
How the Binary Converter works
Positional notation sums each digit multiplied by 2 raised to its place index. Conversion uses arbitrary-precision integers. The calculator keeps the intermediate values visible so you can reproduce the answer independently.
Interpret the result
Each output is the same integer written in a different radix; no magnitude changes during conversion.
Check the assumptions
Only optional leading signs and valid base-2 digits are accepted; fractional values are outside this tool's scope.
Local calculation
Everything runs in this browser. Inputs are not sent to an external calculator.
Rounding
Displayed values may be rounded for readability while calculations use full floating-point precision unless the tool explicitly uses exact integers.
Scope
Only optional leading signs and valid base-2 digits are accepted; fractional values are outside this tool's scope.
Simple by design
Three steps to a clearer number.
Enter your details
Use realistic values in each field. You can change them anytime.
Calculate instantly
The formula runs locally, so there is no account or waiting time.
Use the result
Treat the answer as a practical estimate for your next decision.