1. Prove the property (a'+b') (a'+b) = a' using perfect induction (4 points) 2. Simplify the equations using Boolean algebra and show work: (5 points) i. ((A+BC)+D(E+F')) ii. AB + ABC + ABCD + ABCDE + ABCDEF iii. A'(A+B) +(B+AA) (A+B') iv. (A + B)'(C+D+ E)' + (A + B)' V. AB' +A(B+C)' + B(B+C)