2+2=4 Right?

Well, if you really want to demonstrate any geek-cred, the answer is "not always". If you're doing your arithmatic in Base 10, 2+2=4 but not if you're doing it in Base 4 where the answer is 10. Similarly, if you're doing addition in Base 3, the answer to 2+2=11. In Base 2 the answer is 100, but the question becomes 10+10=?

Lo! What is this mathematical quackery, Mister Pervert? I hear you cry. It's quite simple, really. Conversion of Base 10 (aka the decimal system) into Base 2 (binary) looks like this:

0 = 00 (binary)
1 = 01
2 = 10
3 = 11
4 = 0100
5 = 0101
6 = 0110 etc.

Thus, 2+2=100

0 = 00 (Base 3)
1 = 01
2 = 02
3 = 10
4 = 11
5 = 12
6 = 100 etc.

Thus 2+2=11

0 = 00 (Base 4)
1 = 01
2 = 02
3 = 03
4 = 10
5 = 11
6 = 12
7 = 13
8 = 20 etc.

Thus 2+2=10

So, there you have it. Next time you get into an argument with somebody who insists that 2+2=4, tell them to blow it out their ass and then make them look even more stupid than nature intended as you beat them senseless with geek-logic.