7. (10 Points) 2.12 (d) Simplify the following expression by applying one of the theorems. State the theorem used. (d) (UV+WX)(UV+WX+YZ) 2 8. (10 Points) 2.13 (c) For the following circuit, find the output and design a simpler circuit that has the same output. (Hint: Find the circuit output by first finding the output of each gate, going from left to right, and simplifying as you go.) 9. (10 Points) 2.15 (b) Use only DeMorgan's relationships and Involution to find the complement of the following function: (b) f(A,B,C,D)=ABC+(A+B+D)(ABD+B)