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A Karnaugh map (or K-Map) is a diagram that assists with simplifying Boolean expressions. The method takes advantage of a human's pattern recognition ability as an alternative to performing potentially complex calculations.
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How to group >4 variable k-maps
You've extended a 4x4 k-map into an 8x4 k-map by putting the a and a' cases next to each other. It looks to me like you've gotten all the terms correct. I think it might be a little easier drawing a s …