Page 102 - Bebop to The Boolean Boogie An Unconventional Guide to Electronics Fundamentals, Components, and Processes

BooleanAlgebra rn 83

Combining a Single Variable with Logic 0 or Logic 1
A set of simple but highly useful rules can be derived from the combination
of a single variable with a logic 0 or logic 1 (Figure 9-2).’,2

y=a&O

y

AND OR

0.0 y = 0 ... y = a

:. y = a .*. y = 1

Figure 9-2. Combining a single variable with a logic 0 or logic 1

1 Note that, throughout these discussions, the results from the NAND and NOR functions would be
the inverse of those from the AND and OR functions, respectively.
2 Note that the symbol :. shown in the equations in Figure 9-2 means “therefore.”