7. Given the function F(X,Y,Z) = XZ + Z(X'+ XY), the equivalent, most simplified Boolean representation for F is

  1. Z + YZ
  2. Z + XYZ
  3. XZ
  4. X + YZ
  5. none of the above

5 is CORRECT. F(X,Y,Z) = Z. Here is how: 

F = XZ + Z(X'+ XY)
  = XZ + X'Z + XYZ
    --------
  =    Z     + XYZ   (xy + xy' = x, let x = X, y = Z)
       -----------
            Z         (x + xy = x, x = Z, y = XY)

[ Go Back To Question 7 ]

[ Go Back To The Beginning Of Quiz ]