Minimization is a very useful thing. Using the circuits described in Update #1, in theory it is already possible to build any logic circuit. However, with increasing complexity, the volume of systems being created also grows. And how good it is that it is possible to replace complex circuits with functionally similar devices. For example, a commonly used XOR element built with our previously reviewed tools could probably look like this.



Looks much more complicated than it could be, doesn`;t it? However, if you use such an element as a comparer when building, the circuit will look like this.


Looks like magic. A magic, called Minimization)