2/8/10/16进制转化
2016-09-16 15:29:04 0 举报AI智能生成
2/8/10/16进制转化是一种数字表示方法，它将十进制数转换为其他进制的数。在2进制中，只有0和1两个数字，每一位代表2的幂次方；在8进制中，有0-7八个数字，每一位代表8的幂次方；在10进制中，我们最常用的数字系统，每一位代表10的幂次方；在16进制中，有0-9和A-F十六个数字，每一位代表16的幂次方。这些不同的进制系统可以用于不同的目的，例如在计算机科学中，使用二进制可以更有效地存储和处理信息。
作者其他创作
大纲/内容
各进制特点
二进制
0,1
八进制
0,1,2,3,4,5,6,7
十进制
0,1,2,3,4,5,6,7,8,9
十六进制
0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f
十进制→ 2/8/16
10→
2
除2直到商为0，余数倒排列
如（32）<sub><span lang="EN-US" style="font-size:10.5pt;
mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;mso-ascii-theme-font:
minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:minor-fareast;
mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">10</span></sub>=（100000）₂
10→
8
除8直到商为0，余数倒排列
10→
16
除16直到商为0，余数倒排列
2/8/16→
十进制
2→
10
各位数字乘以以2为底的幂，再和
（1010）2=<span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:<br>11.0pt;font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;<br>mso-fareast-font-family:宋体;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:<br>minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;<br>mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">1×2<sup>3</sup>+0×2<sup>2</sup>+1×2<sup>1</sup>+0×2<sup>0</sup></span>
8→
10
各位数字乘以以8为底的幂，再和
<span style="font-size:10.5pt;mso-bidi-font-size:11.0pt;
font-family:宋体;mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:
minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;
mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">（</span><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">113</span><span style="font-size:10.5pt;
mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">）</span><sub><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">8</span></sub><span lang="EN-US" style="font-size:
10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;mso-ascii-theme-font:
minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:minor-fareast;
mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">=1×8<sup>2</sup>+1×8<sup>1</sup>+3×8<sup>0</sup>=</span><span style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:
Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">（</span><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">75</span><span style="font-size:10.5pt;
mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">）</span><sub><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">10</span></sub>
16→
10
各位数字乘以以16为底的幂，再和
<span style="font-size:10.5pt;mso-bidi-font-size:11.0pt;
font-family:宋体;mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:
minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;
mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">（</span><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">4b</span><span style="font-size:10.5pt;
mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">）</span><sub><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">16</span></sub><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">=4×16<sup>1</sup>+11×16<sup>0</sup>=</span><span style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:
Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">（</span><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">75</span><span style="font-size:10.5pt;
mso-bidi-font-size:11.0pt;font-family:宋体;mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:
"Times New Roman";mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;
mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA">）</span><sub><span lang="EN-US" style="font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language:
ZH-CN;mso-bidi-language:AR-SA">10</span></sub>
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