5- Simplify the following functions using K-maps, and then derive the corresponding simplified
Boolean expressions. Note that \textit{d} stands for don't-care cases. (12 points)
a) $F(w, x, y, z) = \sum(0, 2, 8, 10, 12, 13, 14)$
b) $F(w, x, y, z) = \sum(0, 2, 3, 5, 7, 8, 10, 11, 14, 15)$
c) $F(A, B, C, D) = \prod(1, 3, 6, 9, 11, 12, 14)$
d) $F(x, y, z) = \sum(0, 4, 5, 6)$ and $d(x, y, z) = \sum(2, 3, 7)$