On Approximate 8-bit Floating-Point Operations Using Integer Operations

التفاصيل البيبلوغرافية
العنوان: On Approximate 8-bit Floating-Point Operations Using Integer Operations
المؤلفون: Lindberg, Theodor, Gustafsson, Oscar
سنة النشر: 2024
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Hardware Architecture, B.2
الوصف: In this work, approximate eight-bit floating-point operations performed using simple integer operations is discussed. For two-bit mantissa formats, faithful rounding can always be obtained for the considered operations. For all operations, correctly rounded results can be obtained for different rounding modes, either directly or by adding a conditional carry in. For three-bit mantissa formats, faithful rounding can be sometimes be obtained directly, while for other operations a conditional carry in must be added. Correctly rounded results can be obtained for most operations and rounding modes using slightly more complicated expressions for the carry in. Hardware implementation results for multiplication using both standard cell and FPGA technology are presented illustrating the potential benefit of integer computation. Especially for FPGA, significant resource savings are obtained.
Comment: Submitted to IEEE Symposium on Computer Arithmetic on Feb. 12 2024
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.18441
رقم الأكسشن: edsarx.2406.18441
قاعدة البيانات: arXiv