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8421 进制转换法

8421 进制转换法. 二进制与十六进制之间的转换. 数制转换. X. “按权相加” （ R 进 制转换为十进制 ） “除 R 取 余法”（十进制转换 为 R 进 制 ）. “8421” 法. 原理. 根据二进制的原则“逢二进一”，我们把 2 的 n 次方列出分别是： 2 0 =1 2 1 =2 2 2 =4 2 3 =8 2 4 =16 2 5 =32 2 6 =64…… “ 8421” 法的原理说白了就是一种凑数法，按 2 的 n 次方的值列出，根据不同的情况进行 “凑数”。. 例子. 11011001B=( )H. D9.

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8421 进制转换法

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  1. 8421进制转换法 二进制与十六进制之间的转换

  2. 数制转换 X • “按权相加”（R进制转换为十进制） • “除R取余法”（十进制转换为R进制） “8421”法

  3. 原理 • 根据二进制的原则“逢二进一”，我们把2的n次方列出分别是： • 20=1 21=2 22=4 23=8 24=16 25=32 26=64…… • “8421”法的原理说白了就是一种凑数法，按2的n次方的值列出，根据不同的情况进行“凑数”。

  4. 例子 • 11011001B=( )H D9 2B 101011B=( )H 如果二进制数不够位，应在整数位左边或小数位右边用0补足，凑足4的倍数。

  5. 解题 101011 • 11011001 00 8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1 8+4 + 1=13 8+ 1=9 2 8+2+1 D 9 2 B

  6. 拓展 • A3H=( )B • 10110.1010B=( )H 10100011 16.A

  7. A 3 10100011 10 8 4 2 1 8 4 2 1 2+1=3 8 + 2 =10 0 0 1 1 1 0 1 0 返回

  8. 待续。。。

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