Find a minimum sum-of-products expression for F for the function F(A, B, C, D, E) = m (0, 2, 3, 5, 8, 11, 13, 20, 25, 26, 30) + d (6, 7, 9, 24) and...

1. Find a minimum sum-of-products expression for F for the function F(A, B, C, D, E) = ∑m(0, 2, 3, 5, 8, 11, 13, 20, 25, 26, 30) + ∑d(6, 7, 9, 24) and identify the essential prime implicants.

F =

essential prime implicants:

1. Find the minimum product of sums for F(a, b, c, d, e) = ∑m(1, 5, 12, 13, 14, 16, 17, 21, 23, 24, 30, 31) + ∑d(0, 2, 3, 4)

"Need the associated K-Maps"