04 The Digital Logic Level - The Digital Logic Level Chapter 3 Outline In this section well learn about Gates Digital circuits and Boolean logic

04 The Digital Logic Level - The Digital Logic Level...

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The Digital Logic Level Chapter 3
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Outline In this section, we’ll learn about: Gates Digital circuits and Boolean logic Registers Memory Buses Processor case studies
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Gates and Boolean Algebra (1) Figure 3-1. (a) A transistor inverter. (b) A NAND gate. (c) A NOR gate.
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Gates and Boolean Algebra (2) Figure 3-2. The symbols and functional behavior for the five basic gates.
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Boolean Algebra Figure 3-3. (a) The truth table for the majority function of three variables. (b) A circuit for (a). (b)
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Implementation of Boolean Functions Write truth table for function Provide inverters to generate complement of each input Draw AND gate for each term with 1 in result column Wire AND gates to appropriate inputs Feed output of all AND gates into an OR gate
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Circuit Equivalence (1) Figure 3-4. Construction of (a) NOT, (b) AND, and (c) OR gates using only NAND gates or only NOR gates.
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Circuit Equivalence (2) Figure 3-5. Two equivalent functions. (a) AB + AC
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Circuit Equivalence (3) Figure 3-5. Two equivalent functions. (b) A(B + C).
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Circuit Equivalence (4) Figure 3-6. Some identities of Boolean algebra.
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Circuit Equivalence (5) Figure 3-7. Alternative symbols for some gates: (a) NAND (b) NOR (c) AND (d) OR
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Circuit Equivalence (6) Figure 3-8. (a) The truth table for the XOR function. (b)–(d) Three circuits for computing it.
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Circuit Equivalence (7) Figure 3-9. (a) Electrical characteristics of a device. (b) Positive logic. (c) Negative logic.
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Integrated Circuits Figure 3-10. Common types of integrated-circuit packages, including a dual-inline package (a), pin grid array (b), and land grid array (c).
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Multiplexers (1) Figure 3-11. An eight-input multiplexer circuit.
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Multiplexers (2) Figure 3-12. (a) An eight-input multiplexer. (b) The same multiplexer wired to compute the majority function.
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Decoders Figure 3-13. A 3-to-8 decoder circuit.
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Comparators Figure 3-14. A simple 4-bit comparator.
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Arithmetic Circuits (1) Figure 3-15. A 1-bit left/right shifter.
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Arithmetic Circuits (2) Figure 3-16. (a) Truth table for 1-bit addition.
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  • Winter '14
  • RandyFortier
  • Logic gate, PCI Express, Memory Organization

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