The Inclusive-AND (Equivalence, Exclusive-NOR (EXNOR, XNOR)) and Exclusive-OR (EXOR, XOR) Gates in Mixed Logic

Mixed logic notation simplifies the analysis and design of digital circuits and supports self-documenting gate level circuits. Additionally, it provides alternative implementations which could result in reducing the number of gates. The current symbol of the Equivalence gate as an Exclusive OR with...

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Bibliographic Details
Published in:International journal of electrical engineering & education 2008-07, Vol.45 (3), p.266-277
Main Author: Al-Alaoui, Mohamad Adnan
Format: Article
Language:English
Subjects:
Algebra
Design
Logic
Logical Thinking
Mathematical Logic
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Description
Summary:Mixed logic notation simplifies the analysis and design of digital circuits and supports self-documenting gate level circuits. Additionally, it provides alternative implementations which could result in reducing the number of gates. The current symbol of the Equivalence gate as an Exclusive OR with the output ASSERTED LOW (Exclusive NOR) is troubling when we want to think of the output ASSERTED HIGH. This had impeded extending the mixed logic approach to Exclusive OR. We suggest introducing an alternative distinct symbol for the Equivalence (Inclusive-AND) gate to facilitate the application of the mixed logic concepts to both the Exclusive-OR and the Inclusive-AND gates.
ISSN:0020-7209
2050-4578
DOI:10.7227/IJEEE.45.3.7