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...