Chattopadhyay, A.
AmarĂ¹, Luca
Soeken, Mathias
Gaillardon, Pierre-Emmanuel
De Micheli, Giovanni
Notes on Majority Boolean Algebra
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL)
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL)
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL)
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL)
6
2016
2016
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.
IEEE
978-1-4673-9488-8
Proceedings of the IEEE International Symposium on Multi-Valued Logic (ISMVL)
Conference Papers
10.1109/ISMVL.2016.21