Negative base |
East Asian |
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Alphabetic |
Former |
A negative base (or negative
Negative-base systems can accommodate all the same numbers as standard place-value systems, but both positive and negative numbers are represented without the use of a
The common names for negative-base positional numeral systems are formed by
Consider what is meant by the representation 12243 in the negadecimal system, whose base b is −10:
(−10)^{4} = 10,000 | (−10)^{3} = −1,000 | (−10)^{2} = 100 | (−10)^{1} = −10 | (−10)^{0} = 1 |
1 | 2 | 2 | 4 | 3 |
Since 10,000 + (−2,000) + 200 + (−40) + 3 = 8,163, the representation 12,243_{−10} in negadecimal notation is equivalent to 8,163_{10} in decimal notation, while −8,163_{10} in decimal would be written 9,977_{−10} in negadecimal.