It is known fact that using just NAND-gates it's possible to build everything else (so NEDONAND should prove it). For now I can show some basic things - getting NOT, AND and OR from NANDs is kind of obvious excercise:

Last one is not so obvious - it's 2:1 multiplexer (that could be used to build bigger ones) - most used building block in NEDONAND. Now very recognizable XOR circuit:

And it could be extended to be a true "half-adder":

And finally, already mentioned before transparent D-latch:

This is it for the first lesson of NANDology from Shaos ;)