Corrigés circuits logique

Circuits logique
Corrigé exercices
Logique combinatoire:
Binaire.
Exexcice 2.1
|a = (11010)2 |b = (1001101)2 |c = (110110)2 |
|d = (110000)2 |e = (10110)2 |f = (101111)2 |
|g = (1011110)2 |h = (101100)2 |i = (1010,001)2 |
|j = (10011,000)2|k = (11011,1)2 |l = (1001,01111)2|
|m = (1001)2 |n = (1101,101)2| |


Exercice 2.2
|a = (100)2 |b = (1100)2 |c = (1000)2 |
|d = (110010)2 |e = (10110)2 |f = (1101)2 |
|g = (11000,100)2 |h = (1010,101)2 |i = (11,11)2|
|j = (101,01)2 | | |


Exercice 2.3
|a = (11100)2 |b = (101010)2 |c = |
| | |(100000)2 |
|d = (1)2 |e = (10)2 |f = |
| | |(11,100)2 |
|g = (110001)2 |h = (100,1)2 |i = (11111)2|
|j = (11110,11)2 | | |



Exercice 2.4
|a = 36 |b = 55 |c = 42 |
|d = 60 |e = 65 |f = 5,625 |
|g = 19,125 |h = 9,5625 |i = 31,75 |
|j = 14,03125 | | |

Exercice 2.5
|a = (1000011)2 |b = |c = |
| |(10000000000)2 |(1100010001)|
| | |2 |
|d = (1000001)2 |e = (1000110111)2|f = |
| | |(111000101)2|
|g = (1010100)2 |h = (1100010010)2|i = |
| | |(1000000000)|
| | |2 |
|j = (1010100000)2 | | |




Octal
Exercice 3.1
|a= 119 |b= 3386 |c= 860 |
|d= 766 |e= 3583 |f= 3564 |
|g=1650 |h= 668 |i= 8,015625 |
|j= 12,033 | | |


Exercice 3.2
|a= (247)8 |b= (1656)8 |c= (1557)8 |
|d= (3025)8 |e= (2322)8 |f= (1425)8 |
|g= (1067)8 |h= (23113)8 |i= (140,0314)8 |
|j= (12,0121)8 | | |


Exercice 3.3
|a= (23)8 |b= (27)8 |c= (12)8 |
|d= (17)8 |e= (20)8 |f= (47)8 |
|g= (73)8 |h= (43)8 |i= (770)8 |
|j= (123)8 | | |



Exercice 3.4
|a= 111101 |b= 1010101 |c= 11010110 |
|d= 100111101 |e= 111111111 |f= 1010011 |
|g= 10011110 |h= 10001 |i= 10111111 |
|j= 100110001 | | |


Hexadécimal
Exercice 4.1
|a= 6571 |b= 9469 |c= 9165 |
|d= 22138 |e= 594173 |f= 297391 |
|g= 41868 |h= 290363 |i= 113767 |
|j= 8431 | | |


Exercice 4.2
|a= (11E2)16 |b= (8705)16 |c= (22D8)16 |
|d= (6EB9)16 |e= (7B)16 |f= (11CF)16 |
|g= (16A0)16 |h= (AF63)16 |i= (3E8)16 |
|j= (AF21)16 | | |


Exercice 4.3
|a= (91)16 |b= (CC)16 |c= (3F3)16 |
|d= (F0F)16 |e= (26A)16 |f= (939)16 |
|g= (5FC)16 |h= (3A49)16 |i= (290C9)16 |
|j= (3DDD)16 | | |


Exercice 4.4
|a = |b = |c = |
|(1010011001111001|(1011110001001001|(1010100100100001|
|)2 |)2 |)2 |
|d = |e = |f = |
|(100110001001)2 |(10001110101)2 |(1011001100111001|
| | |)2 |
|g = |h = |i = |
|(10000100101)2 |(10100010010)2 |(111100110111)2 |
|j = | | |
|(1101010000001100| | |
|)2 | | |

Systèmes de codage

Exercice5.1
|a = |b = |c = |
|(0100010101111000)D|(001101100101)D|(100100100000)D|
|CB |CB |CB |
|d = |e = |f = |
|(001010000011)DCB |(000100100011)D|(010001011001)D|
| |CB |CB |
|g = |h = |i = |
|(011110010010)DCB |(010001001000)D|(000100000000)D|
| |CB |CB |
|j = | | |
|(010000110011)DCB | | |


Exercice5-2
|a = 37 |b = 122 |c = 234 |
|d = 99 |e = 356 |f = 975 |
|g = 777 |h = 456 |i = 1010 |
|j = 375 | | |


Exercice5-3
|a = (110101)Gray |b = |c = |
| |(101101)Gray |(110100)Gray |
|d = (101101)Gray |e = |f = |
| |(10101010)Gray |(11111111)Gray|
|g = (10010100)Gray |h = |i = |
| |(110001)Gray |(101010011)Gra|
| | |y |
|j = | | |
|(1101011011)Gray | | |


Exercice5-4
|a = (110110)2 |b = (1000101)2 |c = (1110110)2|
|d = (101001)2 |e = (110011)2 |f = |
| | |(11101001)2 |
|g = (1010001)2 |h = (10101010)2|i = (1111000)2|
|j = (11111111)2 | | |



Lab1.1
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Karnaugh construction
Exercice 6.1
|a = |b= |c = |
|A |A |A |
|B |B |B |
|S |C |C |
| |S |D |
|0 | |S |
|0 |0 | |
|0 |0 |0 |
| |0 |0 |
|0 |1 |0 |
|1 | |0 |
|0 |0 |0 |
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|1 |1 |0 |
|0 |0 |0 |
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|1 |1 |0 |
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|0 |1 |0 |
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| |0 |1 |
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