Mathematics
Boolean Algebra
f-alpha.net » Mathematics » Algebra » Boolean Algebra » Let's go... » Experiment 2 - AND Operation

# Experiment 2 - The AND Operation (Conjunction)

You can picture the behavior of an AND operation with the switch model and register the result Q in the truth table...

Switch model of the AND operation.

 A B Q 0 0 0 0 1 0 1 0 0 1 1 1

Truth table AND operation.

 In logic equations the operator $$\wedge$$ is used for the AND operation... $$Q = A \wedge B$$ (Speaking: A and B). Logical symbol of the AND operation.

With the C-MOS IC 4081, you build an AND operation...

 Circuit diagram AND operation. Circuit AND operation. (Enlarge)
 Logical Product Mathematically the AND operation is similar to the multiplication and is therefore also known as logical product. Therefore, you will find variations of the logic equations... $$A \wedge B \equiv A \cdot B \equiv AB$$

Next the OR operation...