A. Simplify the following functional expression using Boolean algebra and its identities. Then draw the logic diagram. 1. F(A, B, C)-AB + AC + BC 2. Fx, y, z) -xyz + (yz) 3. F(A, B, C) BCABCACDBD 4. FIA, B)-CIAB C)(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. Fx, y, z)-2 (1, 3,4, 5,6,7 7. F(x, y, z) -x'yz + xyz' xyz