New Svoboda-Tung division

作者: L.A. Montalvo , K.K. Parhi , A. Guyot

DOI: 10.1109/12.713319

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摘要: The paper presents a general theory for developing new Svoboda-Tung (or simply NST) division algorithms not suffering the drawbacks of "classical" ST) method. NST avoids ST by proper recoding two most significant digits residual before selecting digit this recoded as quotient digit. relies on divisor being in range [1, 1+/spl delta/), where /spl delta/ is positive fraction depending upon: 1) radix, 2) signed set used to represent residual, and 3) conditions residual. If operands belong IEEE Std 2), they have be conveniently prescaled. In that case, produces correct but final scaled same factor operands, therefore, useful applications unsealed necessary. An analysis shows previously published can derived from proposed paper. Moreover, reveals spectrum possibilities design alternative units. For given radix-b, number different kind b/sup 2//4.

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