Final answer:
To simplify the given functions using Karnaugh maps, create the K-maps for each function and find the simplified expressions by grouping adjacent 1s in the K-maps.
Step-by-step explanation:
To simplify the given functions using Karnaugh maps, we first need to create the K-maps for each function. Then, we can find the simplified expressions by grouping adjacent 1s in the K-maps.
For function a), the K-map is as follows:
The simplified expression is F(w,x,y,z) = w' + y + xz.
For function b), the K-map is as follows:
The simplified expression is F(w,x,y,z) = w' + yz'.
For function c), the K-map is as follows:
The simplified expression is F(w,x,y,z) = y'z + y + wx'.