Mathematics
Boolean Algebra
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# Experiment 6 - The Identity (Neutral Element)

## AND operation

 The neutral element of the AND operation is 1... $$A \wedge 1 = A$$ Logical diagram neutral element of an AND operation. A logic circuit neutral element of an AND operation. (Enlarge)

## OR operation

 The neutral element of the OR operation is 0... $$A \vee 0 = A$$ Logical diagram neutral element of an OR operation. A logic circuit neutral element of an OR operation. (Enlarge)
 Comparison Arithmetic - Boolean Algebra Also the addition and multiplication have neutral elements... $$x + 0 = x \quad\mbox{and}\quad x \times 1 = x$$ As already mentioned, the AND operation is similar to the multiplication and the OR operation is similar to the addition!