Logic Gates!Logic Level 4
What is the minimum number of basic one/two input gates needed to implement the following Boolean Function?
\( F(w, x, y, z) = w'x'y'z' + wx'yz' + x'y'z' + w'x'z' + wxz + xy'z + w'xz \)
- Basic Gates include AND, OR, and NOT only. XOR, NAND and NOR gates do not count in this problem.
- Each AND/OR gate must only accept two inputs. Each NOT gate must only have one output.
- Available inputs are only w, x, y, and z.
As an explicit example,
For the function \(F (x,y,z) = xy'z + xy'z' + x'y' \), this can be simplified to be \(F (x,y,z) = y' \), which means it only needs one NOT gate to have the function implemented.