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Negative Base: Radix, Non-Standard Positional Numeral Systems, Plus and Minus Signs, Decimal, Ternary Numeral System, Binary Numeral System, Signed-Digit Representation - Softcover

 
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A negative base (or negative radix) may be used to construct a non-standard positional numeral system. Like other place-value systems, each position holds multiples of the appropriate power of the system''s base; but that base is negative—that is to say, the base scriptstyle b is equal to scriptstyle -r for some natural number scriptstyle r (r ≥ 2). 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 minus sign (or, in computer representation, a sign bit); this advantage is countered by an increased complexity of arithmetic operations. The need to store the information" normally contained by a negative sign often results in a negative-base number being one digit longer than its positive-base equivalent."

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