I am trying to simplify an equation which was derived from a truth table using the Product of Sum rule and I need help simplifying it to match to a certain equation. The truth table is linked and I've written down the initial and final equations.
https://dl.dropbox.com/u/793037/2012-10-05_1924.png "Truth Table"
The initial equations are:
s(initial) = (w+x+y+z)(w+x+y'+z)(w+x+y'+z')(w+x'+y+z')(w'+x+y'+z)(w'+x'+y+z)(w'+x'+y'+z)(w'+x+y'+z')(w'+x'+y+z') (From the Truth Table)
s(final) = wxyz + wxy + wyz + wy + wz + yz + w + x + z
t(initial) = (w+x+y+z)(w+x'+y+z)(w+x+y+z')(w+x+y'+z')(w'+x+y'+z)(w'+x'+y'+z)(w'+x+y+z')(w'+x'+y+z') (From the Truth Table)
t(final) = wxz + wyz + wz + xz + yz + w + y
Please note that the final answers do not contain any inverse elements.