Data / Number / Computer Science Tools
Decimal to Binary Converter
Convert a decimal number to its exact binary representation, with the conversion steps shown.
Enter a decimal number below - this tool converts it to binary exactly, and can show the repeated-division steps used.
For the reverse direction, see the Binary to Decimal Converter - or the Number Base Converter for other bases.
How Decimal-to-Binary Conversion Works
The classic method repeatedly divides the number by 2, recording each remainder (0 or 1) - reading the remainders from last to first gives the binary representation.
How to Use It
- Enter a non-negative integer.
- The binary equivalent appears instantly, with the conversion steps available to review.
Limitations
This handles arbitrarily large integers accurately using BigInt - negative numbers aren't converted here, since binary representation of negatives (two's complement) depends on a chosen bit width, which the Bit Shift/Bitwise tools address more directly.
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