Base 2 binaire (%)
Base 10 décimal
Base 16 Hexadécimal ($)
Table de correspondance :
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base |
|
base |
||||
|
2 |
16 |
10 |
|
2 |
16 |
10 |
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|
|
0000 |
0 |
0 |
|
1000 |
8 |
8 |
|
0001 |
1 |
1 |
|
1001 |
9 |
9 |
|
0010 |
2 |
2 |
|
1010 |
A |
10 |
|
0011 |
3 |
3 |
|
1011 |
B |
11 |
|
0100 |
4 |
4 |
|
1100 |
C |
12 |
|
0101 |
5 |
5 |
|
1101 |
D |
13 |
|
0110 |
6 |
6 |
|
1110 |
E |
14 |
|
0111 |
7 |
7 |
|
1111 |
F |
15 |
% 1111 1111 % 10 1101 0011 % 0000 0010 1100
% 0000 1111 % 11 1011 0011 % 0011 0011 0111
% 0000 0110 % 10 0111 1011 % 1010 1011 0010
% 0000 0010 % 11 1111 1111 % 1110 0101 1001
% 0011 0001 % 11 0000 0011 % 1111 1111 1111
$ 1FA $ AEB $ F745
$ 56 $ DCBA $ 1FA0
$ FF $ B600 $ 1996
$ FFFF $ 1000 $ 8E05
$ 0100 $ 782 $ 7C6
154 100 320
747 15 255
1010 782 332
3700 1000 766
4096 65535 65536
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|
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
|
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
|
+ |
|
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|
1 |
|
+ |
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|
|
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|
|
1 |
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= |
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= |
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|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
|
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
|
+ |
|
|
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|
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|
|
1 |
|
+ |
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|
1 |
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= |
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= |
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|
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
|
|
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
+ |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
|
+ |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
|
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= |
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= |
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|
|
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
|
1 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
|
+ |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
|
+ |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
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= |
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= |
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% 0010 0110 % 0000 0011 % 1001 1000
% 1000 0001 % 0000 0110 % 1111 1011
% 1000 0010 % 0101 0011 % 0110 0001
% 1111 1111 % 0100 0011 % 1111 1110
a) Déterminer le négatif des nombres binaires positif de l’exercice 5.
b) Donner l’écriture décimale du 6a, vérifier que ce sont bien les négatifs recherchés.
(additionner le Nbr positif avec le Nbr négatif, la somme doit être nulle, sans compter la retenue.)
Pour bien faire l'exercice, faire d'abord les additions et ensuite convertir, vérifier que le résultat en décimal est correct.
|
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0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
|
|
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
|
+ |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
|
+ |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
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= |
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= |
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0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
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0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
|
+ |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|
+ |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
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= |
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= |
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0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
|
|
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
|
+ |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
+ |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
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= |
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= |
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