5-1. How many gates are required to implement the following Boolean equations?
(a) X = (A + B)C
(b) Y = AC + BC
(c) Z = (ABC + CD)E
5-2. Which Boolean law is used to transform each of the following equations?
(a) B + (D + E) = (B + D) + E
(b) CAB = BCA
(c) (B + C)(A + D) = BA + BD + CA + CD
5-3. The output of an AND gate with one of its inputs connected to 1 will always output a level equal to the level at the other input. True or
false?
5-4. The output of an OR gate with one of its inputs connected to 1 will always output a level equal to the level at the other input. True or false?
5-5. If one input to an OR gate is connected to 0, the output will always be 0 regardless of the level on the other input. True or false?
5-6. Use one of the forms of Rule 10 to transform each of the following equations:
(a) B‾ + AB = ?
(b) B + B‾C = ?