A. Simplify the following functional expression using Boolean algebra and its identities. Then draw the logic diagram 2. F(x, y, z)-xyz + (y, + z) 3. F(A, B, C)-BC' + ABC + ACD + BD 4. F(A, B) C(ABC)(A B') B. Simplify the following functions using K-map. Draw the logic diagram 5. F(x, y, z)-2 (1, 2, 3, 4, 5, 7) 6. F(x, y, z)-2 (1, 3, 4, 5, 6, 7) 7. F(x, y, z) -x'yz + xy'z' + xy'z