Half life is simply the amount of time it takes for only half of the original amount of the drug to be still active in the system.
For example, Dianabol's half life is only 3.5 hours...so if you took 10 mg of dbol at 8 am, then by 11:30 am only about 5 mg would be still active in your system.
Basically, yes, the drug will break down mathematically like you said.
Half lives are used to tell how often a drug needs to be administered...every few hours, once per week, once per month etc...as well as to give clues about testing clean. However, half lives are not too reliable for this because metabolites of certain drugs can remain in the system for weeks or even months after they are no longer "effective" in your body.
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