Week 3-4: Boolean Algebra

The most common postulates used to formulate various algebraic structures are: 1. Closure. N={1,2,3,4…}, for any a,b N we obtain a unique c N by the operation a+b=c. Ex:2−3= −1 and 2,3 N, while (−1) N. 2. Associative law. A binary operator * on a set S is said to be associative whenever (x * y) * z = x * (y * z) for all x, y, z, S 3. Commutative law. x * y = y * x for all x, y S

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