Page 104 - Bebop to The Boolean Boogie An Unconventional Guide to Electronics Fundamentals, Components, and Processes
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BooleanAlgebra      85

              The Involution Rule
                 The involution rule states that an even number of inversions cancel each
              other out; for example, two NOT functions connected in series generate an
              identical result to that of a BUF function (Figure 9-5).
                                                              -  -
                       W=Z                                y=a                 y=a





                  a             W            Y                             a          Y

                       NOT            NOT                                      BUF













                                     Figure 9-5. The involution rules



              The Commutative Rules

                 The commutative rules state that the order in which variables are specified
              will not affect the result of an AND or OR operation (Figure 9-6).





                 y=a&b                  y=b&a                y=a I  b                y=b I  a









                  AND                     AND                  OR                     OR


                                      Figure 9-6. The commutative rules
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