Abstract
IEEE-754 rounding support increases the critical delay for floating-point multipliers. Except round-to-zero mode all IEEE rounding modes test the (n − 2) least significant product bits for one. The result of the test is indicated by the sticky-bit. Since fast generation of the sticky-bit is critical for performance, various sticky-bit generation designs are developed. This paper presents a comparison of previous fast sticky-bit generation designs and proposes a novel design that is independent from the multiplier’s hardware. Thus, the proposed design can be used in any floating-point multiplier or any floating-point multiply-accumulate circuit. The proposed method is one of the fastest among all methods and it uses the minimum hardware resources among the designs that use the same idea.
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Notes
The draft IEEE standard for IEEE floating-point arithmetic can be accessed at http://754r.ucbtest.org.
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Gök, M., Özbilen, M.M. Evaluation of Sticky-Bit Generation Methods for Floating-Point Multipliers. J Sign Process Syst Sign Image Video Technol 56, 51–57 (2009). https://doi.org/10.1007/s11265-008-0258-7
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DOI: https://doi.org/10.1007/s11265-008-0258-7