Draw the logic diagram for the following Boolean expressions. The diagram should correspond exactly to the statement. Use multiple-input AND and OR gates as necessary. You must include logic gates to produce the complements of the inputs. (a) f(a,b,c,d)=abc+ad+cd (b) f(a,b,c,d)=a(bd+bd)+d(bc+bc) (c) f(a,b,c,z)=ac(b+d)+bd(a+c)+ab(c+d)