Simplifying a Karnaugh Map
In this image it says the Output should be A' + B, but to me, it seems like it should be A' + AB. If I'm wrong, could someone explain to me how A' + B is the correct answer? The reason I ask this is because in the second group of ones, you get ABC + ABC'. Since A and B areboth common in the last two groups, shouldn't they both be included? Thanks in advance.
Karnaugh Map Simplification Example
Solution
The key bit you are missing is that A' + B is equal to A' + AB
Because of the Distributive Property of boolean algebra we can rewrite
A' + AB
as the product
(A' + A)(A' + B)
and since the first term is the same as just saying 1, we are left with only our second term.
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