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Monadic Boolean algebra is a specialized branch of algebra that extends classical Boolean algebra by incorporating monadic operators. To understand monadic Boolean algebra, it's essential first to break down its components. ### Classical Boolean Algebra Classical Boolean algebra deals with binary variables (usually represented as 0 and 1) and operations such as AND, OR, and NOT. Its fundamental properties include complementation, commutativity, associativity, distribution, and the existence of identity and domination elements.

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  1. Boolean algebra
  2. Binary arithmetic
  3. Arithmetic
  4. Fields of mathematics
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