1. Simply the following boolean functions: a. F(A,B,C,D)= A'B(D' + C'D) + B(A+A'CD) b. F(X,Y,Z)= X' + XYZ + X(YZ) + XY'Z' c. F(X,Y,Z)= X'Y' + Y'Z + XY'Z' + XY 2. Given F(a,b,c) = a'b' + bc + a'bc'. a. Obtain the truth table of F. b. Express F in sum of minterms and product of maxterms. c. Draw the logic diagram of F. 3. Express the other canonical form of the following boolean functions: a. F(x,y,z) = {(0,4,5,7) b. F(w,x,y,z)=((1, 5, 6, 7, 9,10,11) 4. Obtain the complement of the following boolean functions: a. F(x,y,z) = (x+y+z)(x'+z')(x+y) b. F(x,y,z) = (1,3,7), to be in sum of minterms