Unique IP == Unique Visitor?

Hi, i am gonna code a Ad program, but i really need to clarify myself before going too far.
Can we consider unique ip as unique visitor? I am sure that there are only 256×256×256×256 ips in the world. And i even heard bout some area sharing the same ip, am i correct?
plz clarify me if i am wrong

How those wellknown yahoo, google consider a unique visitor click?

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