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Tri-state map for the minimisation of exclusive-OR switching functions

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1 Author(s)
A. Tran ; Dept. of Electr. Eng., Lowell Univ., MA, USA

A tri-state map is developed as a general format for Karnaugh maps, Reed-Muller coefficient maps and transition (partially polarised) maps. The polarisation statuses of the variables in transition maps and Reed-Muller coefficient maps are indicated by the labels on the tri-state maps. A variable in a tri-state map can exist in two of three different states: true, complemented or nonexistent. Karnaugh maps and positive-polarity or negative-polarity Reed-Muller coefficient maps are special cases, in which there are only two states. Minimisation of exclusive-OR switching functions can be carried out, not only on Reed-Muller coefficient maps, but also on Karnaugh maps or any of the transition maps.

Published in:

IEE Proceedings E - Computers and Digital Techniques  (Volume:136 ,  Issue: 1 )