Variable precision arithmetic with lookup table based field programmable gate arrays

Marianne E. Louie · 1995

of the Dissertation Variable Precision Arithmetic with Lookup Table Based Field Programmable Gate Arrays by Marianne Elise Louie Doctor of Philosophy in Computer Science University of California, Los Angeles, 1994 Professor Milos Ercegovac, Chair The computation time of many arithmetic intensive applications would be improved with an application-specific integrated circuit (ASIC), but due to high development costs and the long time to fabrication ASICs are often not created. In these cases, the simple hardware reconfigurability of lookup table based Field Programmable Gate Arrays (FPGAs) can make custom hardware practical. FPGAs feature rapid configuration; FPGAs also provide good hardware speed that is faster than a software implementation but slower than an ASIC due to internal hardware for programmability. This work examines digit-recurrence arithmetic of any precision with lookup table based FPGAs. Despite the growth of broadcasting delays as a function of precision, digit-recu...

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