Title :
Bit-level analysis of an SRT divider circuit
Author :
Bryant, Randal E.
Author_Institution :
Carnegie Mellon Univ., Pittsburgh, PA, USA
Abstract :
It is impractical to verify multiplier or divider circuits entirely at the bit-level using ordered binary decision diagrams (BDDs), because the BDD representations for these functions grow exponentially with the word size. It is possible, however, to analyze individual stages of these circuits using BDDs. Such analysis can be helpful when implementing complex arithmetic algorithms. As a demonstration, we show that Intel could have used BDDs to detect erroneous lookup table entries in the Pentium floating point divider. Going beyond verification, we show that bit-level analysis can be used to generate a correct version of the table
Keywords :
dividing circuits; floating point arithmetic; logic design; BDD representations; Intel; Pentium floating point divider; SRT divider circuit; bit-level analysis; complex arithmetic algorithms; erroneous lookup table; Algorithm design and analysis; Arithmetic; Binary decision diagrams; Boolean functions; Circuit simulation; Circuit testing; Data structures; Formal verification; Permission; Table lookup;
Conference_Titel :
Design Automation Conference Proceedings 1996, 33rd
Conference_Location :
Las Vegas, NV
Print_ISBN :
0-7803-3294-6
DOI :
10.1109/DAC.1996.545657