Tuesday 29 May 2012

Negative base representation (Base -2)

The base -r expansion of a number can be found by repeated division by (-r),recording the non-negative remainders of  and concatenating those remainders, starting with the last. Note that if  remainder d, then  For example, in negaternary:


NOTE: remember to subtract the smaller number, e.g. -3*2 = -6 from -5 and not -3*1 = -3  from -5 as -3 > -5.

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