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عرض الدوائر الرقمية

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  • ) ( Logical Design Boolean Algebra

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  • : : Hertz "Hz" . : ,

    Coding: ..

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  • Analogue Data : Digital Data : :

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  • Bit ............. 1, 0 ( On Off ) bits n 2N 4 bit 24 =16

  • : () 8 (11000110) (9) 4 (1001)

    Binary System

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    (: MP3 MPEG GIF) : : .

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  • 8 2 8=256 16 2 16= 64000 .

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  • Decimal System (10) (1, 2, 3, 4, 5, 6, 7, 8, 9, 0)

    5 6 7 . 9 1 4 2 1 0 -1 -2 -3 ( ) 10 10 10 10 10 10 ( 5 6 7. 9 1 4)10

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  • Binary System1 0 1 1 1 1 . 0 0 1 ( 1 0 1 1 1 1 . 0 0 1 ) 2 (2) (0, 1)

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  • Octal System= 512*4+0+56+13 2 1 0= 8 *4 +8 * 0 + 8 * 7+ 8 * 1 : ( 4071) 8 (8) (01234567)

    (2105)10

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  • Hexadecimal System= 16384+0+112+123 2 1 0= 16*4+16 *0 +16*7+ 16 * 12 : ( 407C) 8 (16) (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F)

    (16508)10

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  • (75)8(3D)16

  • 372010111

    (011111010)2

    011 2A100011010

    (001010100001)2

    0010

  • (1101)2132=6 162=3 032=1 112=0 1 (13) 138=1 518=0 1(15)8

  • (1011.11)2(A2F)16 (45)8

  • 1011.11 = 1x23 + 0x22 + 1x21 + 1x20 + 1x2-1 + 1x2-2 = 8 + 0 + 2 + 1 + 0.5 + 0.25 = 11.75A2F = 10x162 + 2x161 + 15x160 = 10 x 256 + 2 x 16 + 15 x 1 = 2560 + 32 + 15 = 2607(45=4*81 +5*80 = 32 +5= 37

  • ASCII

    (ASCII) ..... 72 128

  • - 7 bit ASCII

  • ( ASMO ) (IBM " " " " " " ""

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  • UNICODE (16) .............. 162 .

  • Logic Design " logic gate Logic Circuit .

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  • Logic Design logic gate Logic Circuit Logic Design

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  • " Function " :

    OR : F= X + y : AND F= X * y NOT : F=Y F= X

  • :F = X*Y*Z

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  • :F = X*Y*Z

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  • :X * Y +Y * Z F= 2

  • F=X * Y +Y * Z 2 :

    XYZ F 000000100 101 01101001101111011110

  • Boolean Algebra " " (1) " " ( 0) ( OR ) ( AND ) ( Inverter ( logic Identity

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  • F= X + X`YF= X`Y + X`Y` :

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  • F= X + X`YF= X`Y + X`Y`:

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  • F= X + X`Y= (X+X`)*(X+Y)=1 * (X+Y)=X+YF= X`Y + X`Y`= X`(Y +Y`)= X`*1= X`X

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  • : F= X`*Y` + X*Y` +X*Y

  • :F= X`*Y` + X*Y` +X*Y= Y`(X+X`) +X*Y=Y`*1 +(X*Y)=(Y`+Y) * (Y`+X)= 1*(Y`+X)=X+Y`

  • F= XY+ X`Z+YZ

  • F= XY+ X`Z+YZ= XY+ X`Z+YZ*(X+X`)= XY+ X`Z+XYZ +X`YZ=XY+XYZ +X`Z +X`YZ=XY(1+Z) +X`Z (1+Z)=XY +X`Z

  • Computer Architecture

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