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.
Négabinary - dCode
Tag(s) : Informatics, Mathematics
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Négabinary
Negabinary to Decimal Converter
Decimal to Negabinary Converter
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.
Answers to Questions
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 (ordered from the end to the beginning).
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: 12 (decimal) in negabinary is written 11100 (its successive remainders are 0,0,1,1,1 :
| 12 / -2 = -6 | remainder 0 | -6*-2 = 12 |
| -6 / -2 = 3 | remainder 0 | 3*-2 = -6 |
| 3 / -2 = -1 | remainder 1 | -1*-2 = 2 and 2+1 = 3 |
| -1 / -2 = 1 | remainder 1 | 1*-2=-2 and -2+1 = -1 |
| 1 / -2 = 0 | remainder 1 | 0*-2 = 0 and 0+1 = 1 |
How to convert a Negabinay number to Decimal?
Negabinary writing corresponds to a base $ -2 $ writing system.
Example: 110 (negabinary) is equivalent to 2 (base 10) $ 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(with a minus sign in base 10) have an even number of bits, while the positive integers(with a plus sign in base 10) have an odd number of bits.
Source code
dCode retains ownership of the online 'Négabinary' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Négabinary download for offline use on PC, tablet, iPhone or Android !
Need Help ?
Please, check our community Discord for help requests!
Questions / Comments
