[Math Lair] Boolean Algebra

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Boolean algebra is a type of algebra first developed by George Boole. It differs from regular algebra in that it uses only two values, usually denoted 0 and 1. It has many different applications in logic, computer hardware and software development, and set theory.

There are three basic operators:

Since there are only two values, the "addition" and "multiplication" tables are much simpler than they are for ordinary calculations: