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Chapter 4 The Building Blocks: Binary Numbers, Boolean Logic, and Gates.

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Presentation on theme: "Chapter 4 The Building Blocks: Binary Numbers, Boolean Logic, and Gates."— Presentation transcript:

1 Chapter 4 The Building Blocks: Binary Numbers, Boolean Logic, and Gates

2 Figure 4.1 – The Binary Numbering System – Distinction Between the External and the Internal Representation of Information

3 The Binary Numbering System – Mantissa and Exponent

4 The Binary Numbering System – Mantissa and Exponent After Normalization

5 Figure 4.4 Binary Storage Devices – Using Magnetic Cores to Represent Binary Values

6 Binary Storage Devices – Figure 4.5 - Relationships Among Transistors, Chips and Circuit Boards

7 Figure 4. 6 Binary Storage devices – Simplified Model of a Transistor

8 Figure 4.2.3 Binary Storage Devices – Chips and Dips

9 Figure 4.2.3B Binary Storage devices – Building Blocks

10 Boolean Logic and Gates – Figure 4.10 The Three Basic Gates

11 Boolean Logic and Gates – Figure 4.11 Construction of an AND Gate from Two Transistors

12 Boolean Logic and Gates – Figure 4.12 Construction of an OR Gate from Two Transistors

13 Boolean Logic and Gates – Figure 4.13 Construction of a NOT Gate from One Transistor

14 Building Computer Circuits – Figure 4.14 Diagram of a Typical Computer Circuit

15 Building Computer Circuits – Circuit Diagrams

16 A Circuit Construction Algorithm – Figure 4.15 Circuit Diagram for the Output Labeled Output - 1

17 Circuit Construction Algorithm – Circuit Optimization

18 Examples of Circuit Design and Construction – Figure 4.17 One-Bit Compare-for-Equality Circuit

19 Examples of Circuit Design and Construction – Figure 4.18 N-Bit Compare-for- Equality Circuit

20 Examples of Circuit Design and Construction - Figure 4.19 The 1-ADD Circuit and Truth Table

21 Examples of Circuit Design and Construction – Figure 4.20 Sum Output for the 1-ADD Circuit

22 Examples of Circuit Design and Construction – Figure 4.21 Complete 1-ADD Circuit for 1-Bit Binary Addition

23 Examples of Circuit Design and Construction – Figure 4.22 The Complete Full Adder ADD Circuit

24 Control Circuits –Multiplexor Circuit is a Circuit that has 2 N input lines and 1 Output line.

25 Examples of Circuit Design and Construction – Figure 4.23 A Two-Input Multiplexor Circuit

26 Control Circuits – Figure 4.24 – A 2-to-4 Decoder Circuit

27 Examples of Circuit Design and Construction – Figure 4.25 Example of the Use of a Decoder Circuit

28 Examples of Circuit Design and Construction – Figure 4.26 Example of the Use of a Multiplexor Circuit


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