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) : Mathematics, Informatics
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Négabinary
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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.
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: If we want 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 writing in base -2.
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.
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