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Binary to Negabinary Converter

In short

Convert binary to negabinary (base -2) - handles signed input, BigInt precision, no sign bit needed. Free, client-side, instant, offline, secure.

  • Runs in your browser
  • Nothing uploaded
  • Free, no sign-up

Convert standard binary (base 2) to negabinary (base -2). Negabinary's party trick: it represents negative numbers without a sign bit. -1 in decimal becomes 11 in negabinary (= -2 + 1). Accepts signed binary input (-1010), BigInt-backed for arbitrary width.

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100% PrivateNo server uploads, ever
InstantRuns in your browser
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No WatermarksClean output, always
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Free ForeverNo accounts, no limits

How to Use Binary to Negabinary Converter

  1. Paste binary values, one per line. Use only 0 and 1, with an optional leading - for negative. Example: 110 (positive 6), -110 (negative 6). Whitespace inside a line is stripped.
  2. Pick an output format. Plain shows just the negabinary digits. Full shows the full chain binary → decimal → negabinary on one line - helpful for teaching or verifying.
  3. Verify by position sum. Negabinary digits at position i represent (-2)^i. So 11010 = 1·16 + 1·(-8) + 0·4 + 1·(-2) + 0·1 = 16 - 8 - 2 = 6. Compare with the decimal your binary input represents.
  4. Try a negative value. Paste -1 and see 11 come out - that’s negabinary’s defining feature. 11 = 1·(-2) + 1·1 = -1. No sign bit anywhere.
  5. Watch the stats. Total lines · input bits · max output digits · signed count · validity. If you paste signed 32-bit-style data, the signed count should match the number of lines with a - prefix.
  6. Read inline errors. Bad lines show ERROR: contains non-binary char "X" at position N; other lines still convert normally.
  7. Copy or download. Ctrl+Enter / Cmd+Enter runs convert + copy in one step.

Frequently Asked Questions

What is negabinary?

Negabinary is a base-negative-two positional system. Like binary, it uses only 0 and 1, but the place values alternate sign: 1, -2, 4, -8, 16, -32, and so on. It can represent negative numbers without a sign bit.

Does it accept signed binary input?

Yes. You can input a signed decimal or two’s-complement binary value. The tool interprets the sign correctly and produces the corresponding negabinary string.

Why use negabinary?

It lets you represent negative numbers naturally without needing a separate sign convention. It is primarily a theoretical and educational system but appears in some specialized DSP and arithmetic research.

What precision does the tool support?

JavaScript BigInt, so any practical integer size (hundreds of digits) converts exactly without rounding.

Is my data secure?

Yes. Conversion runs entirely in your browser. Nothing is uploaded or logged.

Do you save inputs?

No. The tool is fully client-side – nothing is sent to a server, logged, or stored, and the tool keeps working offline once the page has loaded.

Is this tool free?

Yes. No sign-up, no limits, no hidden costs. Because everything runs in your browser, there is no server bill behind the scenes that would force a paywall.

Can I see the conversion steps?

Yes. Step-by-step mode shows each division by -2 and the resulting remainder, which is the standard algorithm for base-negative-two conversion.

Is there an inverse tool?

Yes, a complementary negabinary to binary converter is available for the reverse operation.

What does the output for zero look like?

Zero in negabinary is simply 0, the same as in regular binary.

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