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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) |
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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) |
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Comparison Arithmetic - Boolean Algebra Also the multiplication has an annihilator... $$x \times 0 = 0 $$ The addition however has no annihilator! |
