Boolean logic is a logical system in which variables hold only one of two truth values — true and false, usually denoted 1 and 0 — named for 19th-century mathematician George Boole, who formalized logic as an algebra of these binary values.

The system's core operators — AND, OR, and NOT — combine or invert truth values according to fixed rules, and every digital circuit ultimately reduces to these operations executed on binary signals, which is why Boolean logic underlies computer hardware and software alike. It contrasts with 📝Fuzzy Logic, which allows a continuum of truth values between fully true and fully false rather than forcing every statement into one of two discrete states.