Convert Binary to Negabinary

Convert numbers to negabinary (base -2) representation

Last updated: October 14, 2026

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What is negabinary?

Negabinary is a positional number system with base −2. Like binary, it uses only the digits 0 and 1, but the place values alternate sign: 1, −2, 4, −8, and so on. This converter accepts either a decimal integer or a binary digit string and displays the base −2 representation.

Convert a value

  1. Choose Decimal or Binary as the input format.
  2. Enter a whole decimal number or a string containing only 0 and 1.
  3. Select Convert to see the negabinary result and the repeated-division steps.

For example, decimal 2 is 110 in base −2 because 1 × 4 + 1 × (−2) + 0 × 1 = 2. Negative values are represented without a separate minus sign.

Input limits

Decimal input must be a finite safe integer. Binary input is limited to 53 digits and must contain only 0 and 1. The converter uses JavaScript number arithmetic, so values outside the safe-integer range cannot be represented exactly. This is an educational conversion helper, not an arbitrary-precision calculator.

Privacy

Conversion runs in your browser; the input is not sent to our servers.