Experiment 21  Conversion of the NOR Operation
With only the NOR operation you
can also create the NOT, AND and OR operation.
Thereby, the idempotence,
double negation law and De Morgan law is used...
The NOT Operation
With the Idempotence you get the
NOT operation...
$$\neg (A \vee A) = \neg A$$
Logic diagram NOT operation with a NOR operation.

Logic circuit NOT operation with a NOR operation.
(Enlarge)

The OR Operation
With the double negation law you get the
OR operation...
$$\neg ( \neg (A \vee B)) = (A \vee B)$$
Logic diagram AND operation with a NOR operation.

Logic circuit OR operation with a NOR operation.
(Enlarge)

The AND Operation
With the De Morgan law you turn the
NOR operation into a
AND operation...
$$\neg ( \neg A \vee \neg B) = (A \wedge B)$$
Logic diagram AND operation with a NOR operation.

Logic circuit AND operation with a NOR operation.
(Enlarge)

Again, this has consequences for the completeness...