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Home » Other
Introduction to Logic Gates
Author: Gabriel Torres
Type: Tutorials Last Updated: October 21, 2005
Page: 3 of 10
$ Check REAL-TIME pricing for Simon Publications An Introduction to Logic and Scientific Method Ernest Nagel ISBN RHCGCQ $.
Buy.com: $28.68

AND

As its name implies, an AND logic gate performs an “AND” logic operation, which is a multiplication. It has at least two inputs. So, if A and B are its inputs, at the output we will find A x B (also represented as A · B). So, AND logic gate can be summarized by the formula Y = A x B (or Y = A · B). You can see its symbol on Figure 3 and its truth table right below it.

AND gate
Figure 3: AND logic gate.

A

B

Y

0

0

0

0

1

0

1

0

0

1

1

1

Another way to understand AND logic gate: its output will only be at “1” when all its inputs are also at “1”. Otherwise its output will be “0”.

If you are projecting a circuit and need an AND logic gate with more inputs, you can go ahead and simple draw an AND logic gate like the one on Figure 3 and put more inputs on it. But if you are working with integrated circuits with AND logic gates with fewer inputs that you need, you can expand the number of inputs by connecting them like shown on Figure 4.

AND gate
Figure 4: Expanding AND inputs using 2-input gates.

The most famous AND gate integrated circuit is 7408 and you can its pinout on Figure 5. Of course there are several other integrated circuits that provide AND gates with more inputs. For example, 7411 provides three three-input AND gates.

7408 IC
click to enlarge
Figure 5: 7408 integrated circuit provides four two-inputs AND gates.

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