各进制相互转换1.pdf

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1、各进制相互转换专题总结一：了解进制数制转换不同进位计数制之间的转换原则：不同进位计数制之间的转换是根据两个有理数如相等，则两数的整数和分数部分一定分别相等的原则进行的。也就是说，若转换前两数相等，转换后仍必须相等。有四进制十进制：有 10 个基数：0 9，逢十进一二进制：有 2 个基数：0 1，逢二进一八进制：有 8 个基数：0 7，逢八进一十 六 进 制：有16个 基 数：0 9，A，B，C，D，E，F(A=10,B=11,C=12,D=13,E=14,F=15)，逢十六进一二：十进制转化为二，八，十六进制（1）：十进制转化为二进制原则是：要将十进制转为各进制的方式，只需除以各进制的权值，取

2、得其余数，第一次的余数当个位数，第二次余数当十位数，其余依此类推，直到被除数小于权值，最后的被除数当最高位数。例子：55 转为二进制55/2 商余数位数27 1 第一位13 1 第二位6 1 第三位3 0 第四位1 1 第五位1 1 第六位结果是：110111（2）：十进制转为八进制例子：5621转为八进制5621/8 商余数位数702 5 第一位87 6 第二位10 7 第三位1 2 第四位1 1 第五位结果是：12765（3）：十进制转为十六进制例子：76521转为十六进制76521/16 商余数位数4782 9 第一位文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T

3、10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM

4、4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1

5、Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H

6、7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:

7、CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 H

8、J1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI

9、2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9298 14 第二位18 10 第三位1 2 第四位1 1 第五位结果是：12AE9 三：二进制转为八，十，十六进制（1）：二进制转为八进制例子：将 1001001转为八进制 6543210 1：第一种方法将 1001001转换为十进制，按位权展开，第 0 位的权值是 2 的 0 次方，第1 位的权值是 2 的 1 次方.以此类推2

10、0*1+21*0+22*0+23*1+24*0+25*0+26*1=1+8+64=73;十进制转为八进制：73/8 商余数位数9 1 第一位1 1 第二位1 1 第三位结果是：111 2：第二种方法对应位权，二进制1001001对应八进制位权（从右到左）三位对应一位，即 001=1，001=1，001=1（不足三位在前面补全三位，如最左位 1 前面补两个 0）。结果：（1001001）2=（111）8 001=1 010=2;011=3;100=4;011 100 010 文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1

11、Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H

12、7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:

13、CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 H

14、J1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI

15、2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编

16、码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6

17、 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9（2）二进制转为十六进制将二进制每四位对齐，不足的前面补零，采用 8421 法则进行计算，相互的对应的乘积相加即可例子：将 1001001转为十六进制1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 8 4 2 1 8 4 2 1 0 4 0 0 8 0 0 1 4 9 结果就是：49 四：位移的操作运算：左移（高位丢失，低位以0 填充）例子：-2 右移（低位丢失，高位以符

18、号填充）例子：-22 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0（-2）1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 右移两位，低 2 位移除丢弃，高2 位用 1 填充，这是一个符号右移操作，高位用操作数的符号位填充文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C

19、2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T1

20、0B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4

21、D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z

22、3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7

23、T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:C

24、M4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ

25、1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2

26、H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码

27、:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6

28、HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 Z

29、I2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档

30、编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9文档编码:CM4D4F3T1D6 HJ1Z3C2R7T7 ZI2H7T10B8X9