Anding is the process of applying a logical AND between two bits. Where 1 bit is capable of storeing either a logical 1 or high, or a logical low or 0. I will try to sumerize:

AND'ing

1 X 1 = 1
1 X 0 = 0
0 X 1 = 0
0 X 0 = 0

As you can see ANDing can be though of as multiplying.

Think of it as 1 AND 1 make a 1, but if both digits are not the same they produce an 0;

ORing:

0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 1

Well 1 + 1 = 1 may be confuseing, Think of it as 1 OR 1 OR both make a 1

Hope that helps, you just need to find a good tutorial like the one zaggy gave you.

Just thought I would add this part, google alows you to use bolean algebra, so doing a web search for example:

learning OR education AND security

google would trear the keywords with the logical AND and OR.

This is the basis behind boolean algebra.