Not understanding simplification of Boolean function

Discussion in 'Homework Help' started by Fred123123, Nov 12, 2014.

  1. Fred123123

    Thread Starter New Member

    Nov 12, 2014
    The equation give in S = X'YZ + XZ + XY'Z + Y'Z + XY and I have to reduce it.
    As my professor reduces it it goes to S=X'YZ + XZ + YZ + XY'Z + Y'Z + XY (He consensus terms 1 and 2)
    and next he goes down and the equation is S = XZ + YZ +XYZ' +Y'Z + XY.
    Where does the X'YZ go to? Is it absorption or something else?
  2. WBahn


    Mar 31, 2012
    It seems like he is going about it the long way. The solution can be had in just three or four simple steps.

    HINT: Don't forget that OR distributes over AND. Thus, AB+C = AC + BC

    As for where the X'YZ goes, consider the first and third terms in the prior reduction.