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Boolean Algebra
f-alpha.net » Mathematics » Algebra » Boolean Algebra » Let's go... » Experiment 7 - Annihilator

Experiment 7 - The Annihilator

AND operation

The annihilator of an AND operation is 0...

$$A \wedge 0 = 0$$

Logical diagram annihilator of an AND operation.

A logic circuit annihilator of an AND operation. (Enlarge)

OR operation

The annihilator of an OR operation is 1...

$$A \vee 1 = 1$$

Logical diagram annihilator of an OR operation.

A logic circuit annihilator of an OR operation. (Enlarge)

Comparison Arithmetic - Boolean Algebra

Also the multiplication has an annihilator...

$$x \times 0 = 0 $$

The addition however has no annihilator!

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