Boolean Algebra and Logic Gates

Abstract

1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.