The Exclusive Or was chosen for its historical importance and also because it is quite simple and, therefore, ideal for you to learn your way around GeneXproTools modeling environment: try making a few runs, optimizing and simplifying a model, check the generated code and translate it into the programming language of your choice, try different fitness functions, different function sets, different architectures, and so on.

The 3-Majority function was also chosen for its simplicity. With this sample run you will be able to explore and understand immediately all the capabilities of GeneXproTools including its more advanced features, such as linking functions, fitness functions with parsimony pressure, DDFs and UDFs, modeling with random constants, and so on.

The Odd-3-Parity is also a well-known function and, of the functions with three arguments, it is one of the hardest to design using adaptive algorithms such as Neural Networks and of course Gene Expression Programming. So, it might be interesting for you to see how GeneXproTools deals with such difficult functions, how it can be used to find their most parsimonious representations, how to tackle these more complex functions with a modular approach using User Defined Functions as smaller building blocks, and so forth.

The 6-Multiplexer is also a well-known function and is much harder than even the Odd-3-Parity function. You can explore this sample run to get a feeling of what can be achieved with GeneXproTools and try here its most advanced tools for logic circuit design, namely the use of User Defined Functions to design more complex circuits composed of simpler ones.