I am very new to circuits and such but i want to know how to power a buzzer i took out of an alarm clock. And if i can do it with 2 AA's. all the buzzer says on the back is 16ohm 1W

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mainly having trouble with the math equations, i have a breadboard thouugh

 

That is not a buzzer it is a speaker. You need to provide it an appropriate ac signal to produce a buzzing sound. If you hook up batteries it will make a click and no more and might burn out the voice coil of the speaker and certainly quickly discharge the battery.

 

An 'AC' signal (~1kHz) could be derived using a circuit like this. R2/R3 can be changed to change the sound frequency. Strictly speaking this is a pulsing DC rather than AC signal, but the sound will be similar.