What is the difference between elementary algebra and Boolean algebra?

Here are the basic differences:

elementary algebra:

- Domain is the real numbers

- Uses the operations of addition, subtraction, and multiplication

- Uses the laws of associativity, commutativity, and distributivity

Boolean algebra:

- Domain is only two numbers

- Uses the operations of conjunction, disjunction, and negation (AND, OR, NOT)

- Uses the laws of associativity, commutativity, distributivity, absorption, and complements