Binary to Negabinary Converter Online Free
Convert binary to negabinary (base -2) - handles signed input, BigInt precision, no sign bit needed. Free, client-side, instant, offline, secure.
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.
How to Use Binary to Negabinary Converter Online Free
- Paste binary values, one per line. Use only
0and1, with an optional leading-for negative. Example:110(positive 6),-110(negative 6). Whitespace inside a line is stripped. - Pick an output format. Plain shows just the negabinary digits. Full shows the full chain
binary → decimal → negabinaryon one line - helpful for teaching or verifying. - Verify by position sum. Negabinary digits at position i represent
(-2)^i. So11010= 1·16 + 1·(-8) + 0·4 + 1·(-2) + 0·1 = 16 - 8 - 2 = 6. Compare with the decimal your binary input represents. - Try a negative value. Paste
-1and see11come out - that’s negabinary’s defining feature.11= 1·(-2) + 1·1 = -1. No sign bit anywhere. - 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. - Read inline errors. Bad lines show
ERROR: contains non-binary char "X" at position N; other lines still convert normally. - Copy or download.
Ctrl+Enter/Cmd+Enterruns 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.
Is this tool free?
Yes, with no sign-up and no limits.
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.