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数字电子技术基础 PowerPoint PPT Presentation


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数字电子技术基础. 广州大学信息与控制工程系. 数字化已成为当今电子技术的发展潮流。数字电路是数字电子技术的核心,是计算机和数字通信的硬件基础。 数字电子建立在模拟电子之上,没有模电就没有数电。 相对来说,数电比模电好学。. 第一章 逻辑代数基础. 本章重点 逻辑代数的基本公式和常用公式 逻辑代数的基本定理 逻辑函数的各种表示方法及相互转换 逻辑函数的简化方法 约束项、任意项、无关项的概念以及无关项在化简逻辑函数中的应用. §1.1 概述-基础知识. 数字电路的基本概念 数制和码制 算术运算和逻辑运算. 一、数字电路的基本概念. 模拟信号

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数字电子技术基础

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1.1


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  • 5V0V

    (1)10

    (2)10


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  • 10101

    2

    3

    4

    5


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  • N

    --i

    1.(Decimal)

    2.(Binary)

    3.(Hexademical)


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  • 1.

    2.

    2

    2

    3.

    4.

    5.


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1.1 10011.101

(10011.101)B124023022121120121022123

19.625)D


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  • 1.2 23 2 :

    23)D =10111)B


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  • 1.3 0.394

    2

    0.392=0.78 0 b-1

    0.782=1.56 1 b-2

    0.562=1.12 1 b-3

    0.122=0.24 0 b-4

    0.242=0.48 0 b-5

    (0.39)D=(0.0110)B


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  • BCD

    8421

    3

    2421

    5211

    3


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  • (true form)

    (ones complement)

    (twos complement)

    1

  • 1.2


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1.2

  • 01


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x

01


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ABY=1

AB

Y=1


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1.3


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(1)

AB(1)AABBC+D

1.4


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1.4

  • AA


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  • Shannons Theorem

    + +

    0 11 0

    *

    1.4


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  • + +

    0 11 0

    1.5Y


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1.5

  • Y=F(A,B,C,)


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  • 1.5.1

    1.7


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  • 1.5.1

Y=1

1

0

Y


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  • nmnnmm

    n2nmi(i=0,1,,n-1)


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  • 1

    1

    0


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  • nMnnMM

    n2nMi(i=0,1,,n-1)


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  • 1.6

    1.7

=m7+m6+m3+m5=m3,5,6,7


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Yi


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1.6

  • x x

    x x


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  • 1.8

    (1)

    (2)

    A+AB=A

    (3)

    (4)


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  • 1.9

A+AB=A


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  • 1.10

A+AB=A

A+AB=A


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11.6.8

  • 1.11

2


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  • 1.12


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1.7

  • ABC


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1.

2.


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  • 1

    1.

2.

1.13


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  • 211

    421

    831


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1. 2n(n=0,1,2,3, )

2. 1

3. 11

4.


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(1)

(2)

(3)

(4) l0


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1.7.3


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1.7.4


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  • 1.14

    • 5


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1.8

  • 0

  • 101

  • x


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ABC

10Y

Y=1Y=0

5

Y=m +d

Y=m2+d0,3,5,6,7


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  • 1010

    1.15 Y(A,B,C,D)=m(1,4,5,6,7,9)+d(10,11,12,13,14,15)

    (1)41456791

    101112131415

    (2)(a)1

    (3):

(b)


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  • 1.16


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  • 1.

    00

    1.17

2.

0

1.18


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1.

2.

3.

4.

5.


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91

P39

1.8

P40

1.10 (1) (3) (5)

1.11 (1) (3) (5)


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96

  • P41

    1.13

    1.14 (1)-(4)


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98

  • P41

    1.16 (1)-(3)

    P42

    1.20


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