Final answer:
Boolean functions F and G are already in their simplest form, with the minimum sum of products for F being W'X'Y' + XY'Z + W'Z, and for G, it is W'Z + X'Y'. No further simplification is required.
Step-by-step explanation:
To find the minimum sum of products (SOP) for the Boolean functions F and G, we need to apply Boolean algebra simplification techniques. In the case of F, we have the terms W'X'Y', XY'Z, and W'Z. For G, the terms are W'Z and X'Y'. Since these are already simplified, we do not have additional actions to take in this case. Therefore, the minimum SOP for F is W'X'Y' + XY'Z + W'Z, and for G, it is W'Z + X'Y'. Simplification techniques, such as combining like terms or using Boolean identities, are not needed for these particular functions since they are already in their simplest form. When simplifying Boolean expressions, it's important to eliminate terms wherever possible and check if the final expression is reasonable.