Boolean logic can be thought of as "0 and 1" logic, or "True or False" logic.
Boolean math started out as "True or False" expressions.
In computers, the bits stored in memory are interpreted as either a '0' or a '1' (binary numbers).
Computer scientists (usually, though you can prove out the concept either way) map '0' = FALSE and '1' = 'TRUE', and thus the operations and decisions made in a computer can be expressed/evaluated as Boolean logic/math expressions.