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Exclusive-OR Representations of Boolean Functions

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3 Author(s)
Harold Fleisher ; IBM Data Systems Division, P.O. Box 390, Poughkeepsie, New York 12602, USA ; Morton Tavel ; John Yeager

With the goal of making exclusive-OR formulations of switching functions more readily available to designers for implementation in LSI and VLSI technologies, we introduce the concept of an exclusive-OR space in which an exclusive-OR normal form is defined to correspond to the conventional disjunctive normal form. A geometrical representation of exclusive-OR space is described, and its various bases are listed and discussed.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:27 ,  Issue: 4 )