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• Le nombre 1,4 demandé apparaît à l'affichage.
• On lui ajoute 1000000000. Le résultat de l'addition est
un nombre de 11 chiffres. La calculatrice ne peut en
afficher que 10. Elle semble donc abandonner le dernier,
qui est 4.
• En multipliant le nombre affiché par 2, on devrait obtenir
2000000002. La calculatrice s'est-elle trompée?
En fait, non! Le 4 de 1000000001,4 n'a pas été égaré.
La machine a conservé tout le nombre dans la réserve
X de calcul. Elle a effectué la multiplication sur le contenu
de cette réserve, donc sur tous les chiffres, ce qui fait:
2000000002,8.
N'affichant que 10 chiffres, elle donne la meilleure valeur
approchée du résultat; soit 2000000003, par excès.
1.4 1.4
+ 1000000000 = 1000000001
x 2 = 2000000003
x 2 = 4000000006
x 2 = 8000000011
Comment interpréter cet affichage apparemment des
plus fantaisistes ?
Résumons ces premières explications:
- On ajoute 1000000000 à 1,4.
réserve X
1000000001.4
affichage
1000000001
26


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