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The purpose of this research is to enhance fractional numbers precision according to the new representation of fractional numbers, adding some extra cost to the hardware so we suggest a new number system per representing of fractional numbers in c omputers, that depends on the series With mathematical, algorithmic study, and its hardware of our research, we consider the two principal formats of real numbers in computers: fixed- point, floating- point and the cost of the hardware required to store and process the numbers.
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