Search for a tool
Négabinary

Tool to convert numbers with negabinary. The Negabinary system allow to represent positive and negative numbers without bit sign in a binary format (0 and 1) using the base -2.

Results

Négabinary -

Tag(s) : Informatics, Mathematics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best Négabinary tool. Thank you.

# Négabinary

## Binary to Negabinary Converter

Tool to convert numbers with negabinary. The Negabinary system allow to represent positive and negative numbers without bit sign in a binary format (0 and 1) using the base -2.

### How to convert a decimal number into negabinary?

The numbers in the negabinary system are described by the formula:

$$\sum_{i=0}^{n}b_{i}(-2)^{i}$$

With $$b$$ a bit and $$i$$ its rank in the inverted negabinary development.

To convert an integer, it is enough to make a division repeated by $$-2$$ and to concatenate the obtained remainders starting with the end.

Example: To represent 12 in negabinary:
12 / -2 = -6, remainder 0 as -6*-2 = 12
-6 / -2 = 3, remainder 0 as 3*-2 = -6
3 / -2 = -1, remainder 1 as -1*-2 = 2 and 2+1=3
-1 / -2 = 1, remainder 1 as 1*-2=-2 and -2+1 = -1
1 / -2 = 0, remainder 1 as 0*-2 = 0 and 0+1 = 1
12 (decimal) in negabinary is written 11100.

### How to convert a Negabinay number to Decimal?

Negabinary writing corresponds to a base -2 writing system.

Example: 110 (negabinary) is equivalent to $$1 \times (-2)^2 + 1 \times (-2)^1 + 0 \times (-2)^0 = 2$$

### How to recognize a positive or negative integer in negabinary?

In nega-binary, negative integers have an even number of bits, while the positive integers have an odd number of bits.

## Source code

dCode retains ownership of the source code of the script Négabinary online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. To download the online Négabinary script for offline use on PC, iPhone or Android, ask for price quote on contact page !