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.

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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.

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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