Digital Logic Circuits

CHAPTER13 Digital Logic Circuits

Figure 13.1 Voltage analog of internal combustion engine in-cylinder pressure Figure 13.1 13-1

Digital representation of an analog signal Figure 13.2 Figure 13.2 13-2

A binary signal Figure 13.3 Figure 13.3 13-3

Table13.1

Complements and Negative Numbers Sign-magnitude convention Example of Twos Complement Operation ( cf : 92 – 114 = - 22)

Digital Code Systems BCD code Hexadecimal code Three-bit Gray code

Figure 13.11, Table 13.9 Logical addition and the OR gate Rules for logical addition (OR) Figure 13.11 Table 13.9 13-4

Figure 13.12, Table 13.10 Logical multiplication and the AND gate Rules for logical multiplication (AND) Figure 13.12 Table 13.10 13-5

Figure 13.13 Example of logic function implementation with logic gates Figure 13.13 13-6

Table 13.11

Figure 13.17 De Morgan’s laws Figure 13.17 13-7

Figure 13.18 Sum-of-products and product-of-sums logic functions Figure 13.18 13-8

Figure 13.21 Equivalence of NAND and NOR gates with AND and OR gates Figure 13.21 13-9

Figure 13.23 Figure 13.23 13-10

Figure 13.24 NOR gate as an inverter Figure 13.24 13-11

Figure 13.27, 13.28 XOR gate Realization of an XOR gate Figure 13.27 Figure 13.28 13-12

Figure 13.29

Figure 13.30 Truth table and Karnaugh map representations of a logic function Figure 13.30 13-13

Figure 13.31 Karnaugh map for a four-variable expression Figure 13.31 13-14

One- and two-cell subcubes for the Karnaugh map of Figure 13.31 Figure 13.32 Figure 13.32 13-15

Figure 13.34 Karnaugh map for the function W ·X· Y · Z + W · X · Y · Z + W · X · Y · Z + W · X · Y · Z Figure 13.34 13-16

Figure 13.46, 13.47

Figure 13.55 4-to-1 MUX Figure 13.55 13-17

Figure 13.56 Internal structure of the 4-to-1 MUX Figure 13.56 13-18

Figure 13.57, Table 13.13 Functional diagram of four-input MUX Table 13.13 Figure 13.57 13-19

Figure 13.58 Read-only memory Figure 13.58 13-20

Figure 13.59

A 2-to-4 decoder Internal organization of SRAM

An example of PLD (Programmable Logic Device; GAL16V8) Simple Mode Logic Diagram OLMC (Output Logic Macrocell):Register Mode

Figure 13.65 Programming Example by using a HDL (Hardware description language)

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