The dot is not simply NAND or NOR.

Search for "What Actually Is the “·”?" for the answer, it's quite complex and fascinating.

I was not able to find anything, can you help with locating what you're talking about?

They meant search for that string in the article, it is a section heading.

It is whatever operation behaves in a manner that makes the statement true.

It's 128kb. The useful and informative article is mentioned at the end: http://theghostinthemp3.com/theghostinthemp3.html