I am given 4 chips: 2-input NAND, 2-input NOR, NOT and 3-input NAND gate chips to implement following functions (*- AND, + OR, '-NOT): F(X, Y, Z) = X*(Y' + Z) + X'*Y F'(X, Y, Z) and a dual of F... all simultaneously. Input are DIP switches. Dual i have not figured out yet, complement should be easy: just run the output of F through the inverter. But i have a concern: the way i designed F is that I run A LOT of stuff through the inverter, and my breadboard is all in wires. And so far i have not used 3-input NAND, maybe it would be used with dual (since i have to change operators). Is there an easier way (that i don't see) to implement F? I was trying to simplify the expression and I would get X(xor)Y + Z*X, but i am not supposed to use XOR chip. Any help is very much appreciated.