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Boolean Algebra
f-alpha.net » Mathematics » Algebra » Boolean Algebra » Let's go... » Experiment 21 - Conversion NOR

Experiment 21 - Conversion of the NOR Operation

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...

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