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三十六进制

三十六进制底数36记数系统,使用36个数码,包括10个阿拉伯数字(0~9)与26个拉丁字母(A~Z),依序代表数码0~35。

0 0 9 9 18 I 27 R
1 1 10 A 19 J 28 S
2 2 11 B 20 K 29 T
3 3 12 C 21 L 30 U
4 4 13 D 22 M 31 V
5 5 14 E 23 N 32 W
6 6 15 F 24 O 33 X
7 7 16 G 25 P 34 Y
8 8 17 H 26 Q 35 Z

约定俗成用于表示数的10个阿拉伯数字(0~9)与26个拉丁字母(A~Z)合起来只有36个,因此36也是最后一个有约定俗成表示方法的进制底数,底数高于36的进制系统如三十七进制就会面临符号不够用的问题,三十六进制也是Microsoft Excel[1]Python[2]NumPy[3]Wolfram[4]支援的最大基底。

由于36是高合成数,有因数1、2、3、4、6、9、12、18,因此在三十六进制中,可以很方便的表示这些数字的倒数,而由于36减去1,为接下来的两个质数5和7的乘积,所以三十六进制可以很好地近似许多分数(就其大小来说)。

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三十六进制
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