(Solved): Realize the following functions using AND and OR gates. Assume that there are no restrictions on th ...

Realize the following functions using AND and OR gates. Assume that there are no restrictions on the number of gates which can be cascaded and minimize the number of gate inputs. (a) $A{C}^{\prime }B+A{B}^{\prime }C+B{C}^{\prime }D$ (b) $A{E}^{\prime }{C}^{\prime }+A^{\prime }{D}^{\prime }{E}^{\prime }+DA+B{E}^{\prime }{C}^{\prime }+DB$ c. Realize $Z=CDA+AB+CEFA$ using only two-input NOR gates. Use as few gates as possible.