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计算机.二进制以
为基数,只用
和
两个数表示数,逢
进
,二进制数同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/b608bc7572d5d64f4c094beba4a42fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7798fdf8f72808ddc0d2fbaca7d854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2210058901658bc9c3dbe39b50fdba5.png)
.我国数学史上,对数制研究不乏其人,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:
,
,
,请类比二进制与十进制转化的运算,数
对应八进制数为
![](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/b608bc7572d5d64f4c094beba4a42fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7798fdf8f72808ddc0d2fbaca7d854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2210058901658bc9c3dbe39b50fdba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a6e59cef46d2dac2efd6f9657a5059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fa3f8e00bfa9c1670dbd7af117bba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb58c7b93ce68a30c8305ad9633a926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189630cfe5550b9e4ca4df231e38d8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70588921b18c44e77b2431a06105dd6d.png)
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2019-09-23更新
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2卷引用:江西省南昌市2020届高三上学期开学摸底考试数学(理)试题