Orthogonal
operators are the easy way to design MVL digital circuits and their use
should be avoided as much as possible. Their heavy usage will not
yield to the design of smart-circuits. For example, circuits designed
by Post representations or AOP orthogonal theorems are not
smart-circuits at all. See the design examples of
the ternary multiplications.
The
binary circuits designed by Boolean representations are smart-circuits
because the binary system does not have "orthogonal operators" at
all.
Remember
that the complementary functions of Post are a subset of the orthogonal
operators of AOP.
