From The Essentials of Computer Organization and Architecture (2nd Edition)
pg 155
Using DeMorgan's Law, write an expression for the complement of F if F(w, x, y, z) = xyz'(y'z + x)' + (w'yz + x').
Firstly, I expressed the bracketed expression as x'y + x'z'.
Then, I evaluated the left addend to 0.
Left with the right addend, I found that F' = (w'yz + x')' = wx + (yz)'x.
The book, in the solutions, complements the entire function first and arrives at x' or y' or z or ((y'z + x)((w + y' + z')x)). Why doesn't my method work?
xtheunknown0