- #1
AdkinsJr
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Homework Statement
Use truth tables for a NOR gate to design an XOR gate.
I'm trying to understand how to design simple gates using boolean algebra and I'm getting nowhere. An example I'm working on is a XOR gate built from NOR gates, I already know how to wire it to a breadboard and it works, but I don't understand how to derive the configuration (I attached a diagram). Topics that come up are boolean algebra and Karnaugh maps which are supposed to help, but I can't seem to get instructors or other students to explain it to me how to use this kind of math to actually design a logic circuit.
I attached the XOR diagram as well as truth tables, Karnaugh Map, and the corresponding representation of the function in boolean algebra.
The XOR gate has 5 NOR gates wired as shown of course I just looked it up, but there is no way I would ever be able to come up with that configuration myself. Any tips or advice? Where do you even start?