a fx y z sum0 1 2 6 7 using truth table onlyb

Question

A. F(X, Y, Z) = ∑(0, 1, 2, 6, 7) using TRUTH TABLE only

B. F(X,Y,Z) = ∑ (4,6,7,8) + D(2,5,11,12) using K-Map

1. Find SOP expression

2. Simplify SOP expression

3. Implement this simplified expression using two level AND-to-OR gate network

4. Implement this simplified expression using NAND gates only