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Coures 1 5elifi

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République Algérienne Démocratique & Populaire Ministère De l’enseignement Supérieur & de la

Recherche Scientifique Uniersité! tahri mohammed "#echar"

système de numération
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°
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r
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Décimal Binaire

17510? =2

On cherche la plus grande puissance de 2 contenues dans 175, c'est 128=27.

175=128)27( +47 ,On refait la même chose aec !7

47=32)25(+15 ,de la même fa"on on o#tient

15=8+4+2+1 ,Donc

17510 =27 +25 +23 +22 +21+20 =101011112

$ette conersion peut se faire d'une fa"on s%stémati&ue l'aide d'une diision successie par( )e

résultat en #inaire est constitué par les restes successifs des diisions.

2

2

2

2

2

2

2

175

87

43

21

10

5

2

1

0

2

1

1

1

1

0

1

0

1

1 0 1 0 1 1 1 1
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