Problem-solving (40 points): Provide the step-by-step solution to the following problems. 1. Simplify $F=x Z+\bar{y} Z+x y \bar{z}+\bar{x} y z$ using the Karnaugh map technique. (8 points) 2. Draw the logic diagram of the simplified function in problem number 1. (2 points) 3. Draw the corresponding NAND and NOR logic diagrams of the logic diagram in problem number 2 . - 2-input NAND gates (20 points) - 2-input NOR gates (10 points) CS.JG.033