Eleventh International Conference on VLSI Design: VLSI for Signal Processing
Optimizing Logic Design Using Boolean Transforms
India
January 04-January 07
ISBN: 0-8186-8224-8
When a Boolean function is transformed by exclusive-OR with a suitably selected transform function, the new function is often synthesized with significantly reduced hardware. The transform function is separately synthesized and the original function is recovered as an exclusive-OR of the two functions. We select the transform to reduce the number of cubes in the function to be synthesized. The function is represented as a Shannon expansion about selected variables. A transform function is constructed such that a selected set of cofactors is complemented to minimize the overall number of cubes. Examples of single-output functions show an average area reduction of 19%. For a multiple-output function, transformations can be customized for each output.
Index Terms:
Boolean functions, logic design, logic synthesis, multi-level synthesis.
Citation:
Pramit Chavda, James Jacob, Vishwani D. Agrawal, "Optimizing Logic Design Using Boolean Transforms," vlsid, pp.218, Eleventh International Conference on VLSI Design: VLSI for Signal Processing, 1998
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