Using K-maps, simplify the following Boolean functions and express each of them in sum-of- products (SOP) and product-of-sums (POS) forms. a) F(w,x,y,z) = Σ(0, 1, 2, 5, 8, 10, 13) b) F(w,x,y,z) = Σ(1,3,6,7,8,9, 12, 13, 14, 15) c) F(w,x,y,z) = d) F(w,x,y,z) = Σ(2, 4, 10, 12, 14) and d(w, x, y, z) = (0, 1,5,8) Σ(0, 4, 8, 9, 10, 11, 12, 14)

Using Karnaugh Maps, simplify the following logic expression: T = ABCD + ABCD + ABCD + ABCD + ABCD + ABCD + ABCD The "Don't Care" states are: ABCD, ĀBCD, ABCD and ABCD.

need help with digital logic

For certain functions which cannot be simplified beyond the sum of minterms, for such functions, the sum of minterms representation has the same number of literals as any othersum of products representation of this function.Check if this condition is satisfied for the following functions:f (x, y, z) = x ⊕ y ⊕ z f (x, y, z) = x + y + zxyf (x, y, z) = xyz + x′y′z