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Digital Circuits and Logic Design



                   Notes         2.1.2 The AND Gate
                                 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 * B (also represented as A • B). So, AND logic gate can be summarized by the formula
                                 Y = A* B (or Y = A * B).
                                                            Figure 2.3: AND Logic Gate





                                                              Table 2.2: Truth Table

                                                                 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 in Figure 2.3 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 in Figure 2.4.

                                                 Figure 2.4: Expanding AND Inputs Using 2-Input Gates









                                 The most famous AND gate integrated circuit is 7408 and you can its pinout in Figure 2.5. Of
                                 course there are several other integrated circuits that provide AND gates with more inputs. For
                                 example, 7411 provides three three-input AND gates.
                                          Figure 2.5: 7408 Integrated Circuit Provides Four Two-Inputs AND Gates


























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