Question: 1. Simply the following boolean functions: a. F(A,B,C,D)= AB(D + CD) + B(A+ACD) b. F(X,Y,Z)= X + XYZ + X(YZ) + XYZ c. F(X,Y,Z)= XY

1. Simply the following boolean functions: a. F(A,B,C,D)= AB(D + CD) + B(A+ACD) b. F(X,Y,Z)= X + XYZ + X(YZ) + XYZ c. F(X,Y,Z)= XY + YZ + XYZ + XY 2. Given F(a,b,c) = ab + bc + abc. 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.

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