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).
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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