Notes on Majority Boolean Algebra

A Majority-Inverter Graph (MIG) is a homogeneous logic network, where each node represents the majority function. Recently, a logic optimization package based on the MIG data-structure, with 3-input majority node (M3) has been proposed [2], [30]. It is demonstrated to have efficient area-delay-power results compared to state-of-the-art logic optimization packages. In this paper, the Boolean algebraic transformations based on majority logic, i.e., majority Boolean algebra is studied. In the first part of this paper, we summarize a range of identities for majority Boolean algebra with their corresponding proofs. In the second part, we venture towards heterogeneous logic network and provide reversible logic mapping of majority nodes.


Published in:
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL), 50-55
Presented at:
IEEE International Symposium on Multi-Valued Logic (ISMVL), Sapporo, Japan, May 18-20, 2016
Year:
2016
Publisher:
Los Alamitos, IEEE
ISBN:
978-1-4673-9488-8
Laboratories:




 Record created 2016-02-11, last modified 2018-03-17

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