在四位八进制数中,能表示的最小十进制数是 ( )
A.585 | B.576 |
C.584 | D.512 |
更新时间:2017-12-08 00:06:39
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【知识点】 不同进制数的互化
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【推荐1】自然界中具有两种稳定状态的组件普遍存在,如开关的开和关、电路的通和断等,非常适合表示计算机中的数,所以现在使用的计算机设计为二进制.二进制以
为基数,只用
和
两个数表示数,逢
进
,二进制数与十进制数遵循一样的运算规则,它们可以相互转化,如![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7db641e8b56be73f6fc516d584f1478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155b3d4e15fb77f37e4492170f91900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad41e333281206637665ac687bf8856.png)
.我国数学史上,清代汪莱的《参两算经》是较早系统论述非十进制数的文献,总结出了八进制乘法口诀:
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f1ad22f61d7bd55533255090b09032.png)
,则八进制下
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7db641e8b56be73f6fc516d584f1478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155b3d4e15fb77f37e4492170f91900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad41e333281206637665ac687bf8856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f382cc349152881c75698c7b68c409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03effdbb6faedcfadc769127ec4cac1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcaf50dbf35aa2a2fedc738569d5747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f1ad22f61d7bd55533255090b09032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f534a840f288a9d292059da9baccd73.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】101110(2)转化为等值的八进制数是( ) .
A.46(8) | B.56(8) | C.67(8) | D.78(8) |
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