On Approximate 8-bit Floating-Point Operations Using Integer Operations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916302130511872 |
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| author | Lindberg, Theodor Gustafsson, Oscar |
| author_facet | Lindberg, Theodor Gustafsson, Oscar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18441 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Approximate 8-bit Floating-Point Operations Using Integer Operations Lindberg, Theodor Gustafsson, Oscar Hardware Architecture B.2 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. |
| title | On Approximate 8-bit Floating-Point Operations Using Integer Operations |
| topic | Hardware Architecture B.2 |
| url | https://arxiv.org/abs/2406.18441 |