> I already know how gates and full adders work.

But do you know how an 8-bit Kogge-Stone adder works? Most of the sources I've read are quite unhelpful. I particularly "like" the ones (e.g. Wikipedia) that use some random pictures/diagrams from who knows where that either 1) have completely different symbols from each other and from what the text claims the symbols on the pictures are (e.g. the text talks about black and grey boxes, the pictures have red and yellow triangles); 2) shows a different kind of adder — the article about Brent-Kung adder has a Kogge-Stone diagram instead; 3) very obviously doesn't work the way the text claims it works/does what the text claims it does.