K'nex Mechanical Adding Machine
Occasionally I worry that the integrated circuit will be the undoing of childhood tinkering. Just look at how hard it is to work on your own car these days. "Infernal computers!" Then I see something like this, and I'm immediately reminded why childhood is sooo cool. It's an excellent mechanical, macroscopic, and home-made example of what our computers do everyday. Score one for the tinkerers, and well done kwilliam2.
This DIY adder is only one product of a thoroughly charming community, building mechanical analogs of what are now mostly digital devices. Here's a cool Lego adder.
logic gates (Wikipedia)
adder (Wikipedia)