in my opinion, there really isn't any mathematics involved when a microprocessor processes the info..but mathematics is involved when the user programs it, and whne the microprocessor does something...
All the microprocessor is doing is manipulating patterns of logic voltage levels. We as programmers assign numbers (binary, hex etc) to these patterns so that we can make sense of what we are doing and simplify of streamline the programing process. As david Bridgon put it in another post, it's the language pattern recognition.
--- I think I botched the spelling of your name Dave
A microprococessor is nothing more than a complicated state machine.
A statemachine is a complicated counter.
A counter is a complicated shift register.
A shift register is a a bunch of Flip Flops.
A Flip Flop is a couple of latches.
A latch is two NAND or NOR gates.
NAND or NOR gates are nothing more than transistors, resistors, capacitors, etc. put together in a certain way.