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Guyot 2022-02-02 15:48:28 +01:00
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@ -1032,7 +1032,10 @@ En effet, le nombre le plus élevé est 0111111111111111, soit \(2^{15}+2^{14}+.
Mais le nombre 1000000000000000 pourrait être utilisé pour -32'768 à la place de -0.} Mais le nombre 1000000000000000 pourrait être utilisé pour -32'768 à la place de -0.}
\only<5-6>{Sur un processeur 32 bits, si on met dans un fichier une fois tous les nombres entiers non signés, quel sera en Go la taille du fichier ?} \only<5-6>{Sur un processeur 32 bits, si on met dans un fichier une fois tous les nombres entiers non signés, quel sera en Go la taille du fichier ?}
\only<6>{\\\smallskip Avec un tel processeur on a \(2^{32}=4'294'967'296\) nombres possibles (avec le zéro). Chaque nombre est codé sur 32 bits, soit au total \(4'294'967'296\cdot 32=1,37\cdot 10^{11}\) bits. Cela représente \(1,71\cdot 10^{10}\) octets ou \(16'777'216\) ko, ou encore \(16'384\) Mo, c'est-à-dire 16 Go.} \only<6>{\\\smallskip Avec un tel processeur on a \(2^{32}=4'294'967'296\) nombres possibles (avec le zéro). Chaque nombre est codé sur 32 bits, soit au total \(4'294'967'296\cdot 32=1,37\cdot 10^{11}\) bits.
\medskip
Cela représente \(1,37\cdot 10^{11}/8=1,71\cdot 10^{10}\) octets ou \(1,71\cdot 10^{11}/1024=16'777'216\) ko, ou encore \(16'777'216/1024=16'384\) Mo, c'est-à-dire 16 Go.}
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