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):(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Circuit design

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