1. Minimize the logic function map. Use Karnaugh Draw logic circuit for the simplified function. 2. Prove the following Boolean identities (i) XY + YZ + Y Z = XY + Z (ii) A.B + A.B + A.B = A + B 3. For F A.B.C B.C.D A.B.C , write the truth table. Simplify using Karnaugh map and realize the function using NAND gates only.