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term Z = (A B) using a two-input NAND gate, and the term Z + C using a two-input NOR gate The solution is shown in Figure 1326
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The XOR (Exclusive OR) Gate It is rather common practice for a manufacturer of integrated circuits to provide common combinations of logic circuits in a single integrated circuit package We review many of these common logic modules in Section 135 An example of this idea is provided by the exclusive OR (XOR) gate, which provides a logic function similar, but not identical, to the OR gate we have already studied The XOR gate acts as an OR gate, except when its inputs are all logic 1s; in this case, the output is a logic 0 (thus the term exclusive) Figure 1327 shows the logic circuit symbol adopted for this gate, and the corresponding truth table The logic function implemented by the XOR gate is the following: either X or Y , but not both This description can be extended to an arbitrary number of inputs The symbol adopted for the exclusive OR operation is , and so we shall write Z =X Y to denote this logic operation The XOR gate can be obtained by a combination of the basic gates we are already familiar with For example, if we observe that the XOR function corresponds to Z = X Y = (X + Y ) (X Y ), we can realize the XOR gate by means of the circuit shown in Figure 1328 Common IC logic gate con gurations, device numbers, and data sheets are included in the CD-ROM that accompanies this book These devices are typically available in both of the two more common device families, TTL and CMOS The devices listed in the CD-ROM are available in CMOS technology under the numbers SN74AHXX The same logic gate ICs are also available as TTL devices
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X Y XOR
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Z=X Y
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Figure 1327 XOR gate
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Figure 1328 Realization of an XOR gate
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Digital Logic Circuits