如何将十进制小数转换为十六进制小数？ [英] How to convert decimal fractions to hexadecimal fractions?

问题描述

所以我在想，你如何将十进制小数转换成十六进制小数？
什么是转换的一些方法，并有捷径？

解决方案

您可以使用此算法：

1. 取小数部分（即整数部分等于零）
   
2. 乘以
   
3. 将整数部分转换为十六进制并放下


4. 转至步骤1

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例如，让我们找出 pi = 3.141592653589793 的十六进制表示...



整数部分很明显 - 0x3 ;至于小数部分（ 0.141592653589793 ），我们有



  0.14159265358979 * 16 = 2.26548245743664; int part 2（0x2）;压裂0.26548245743664 
 0.26548245743664 * 16 = 4.24771931898624; int part 4（0x4）;压裂0.24771931898624 
 0.24771931898624 * 16 = 3.96350910377984; int part 3（0x3）;压裂0.96350910377984 
 0.96350910377984 * 16 = 15.41614566047744; int part 15（0xF）;压裂0.41614566047744 
 0.41614566047744 * 16 = 6.65833056763904; int part 6（0x6）;压裂0.65833056763904 
 0.65833056763904 * 16 = 10.53328908222464; int part 10（0xA）; ... 
  

所以（十六进制）= 3.243F6A ...



可能的（C＃）实现



  public static String ToHex值）{
 StringBuilder Sb = new StringBuilder（）; 
 
 if（value <0）{
 Sb.Append（' - '）; 
 
 value = -value; 
} 
 
 //我确定您知道如何将十进制整数转换为其十六进制表示形式
 BigInteger bi =（BigInteger）value; 
 Sb.Append（bi.ToString（X））; 
 
 value = value  - （Double）bi; 
 
 //我们实际上有整数值（例如5.0）
 if（value == 0）
 return Sb.ToString（）; 
 
 Sb.Append（'。'）; 
 
 // Double是8个字节，所以最多有16个十六进制值
（int i = 0; i <16; ++ i）{
 value = value * 16; 
 int digit =（int）value; 
 
 Sb.Append（digit.ToString（X））; 
 
值=值 - 数字; 
 
 if（value == 0）
 break; 
} 
 
 return Sb.ToString（）; 
} 
  

测试



  Console.Write（ToHex（Math.PI））; //<  -  returns3.243F6A8885A3
  




So I was thinking, how do you convert a decimal fraction into a hexadecimal fraction? What are some methods for converting and are there short cuts?

解决方案

You can use this algorithm:

1. Take a fractional part of the number (i.e. integer part equals to zero)
2. Multiply by 16
3. Convert integer part to hexadecimal and put it down
4. Go to step 1

For instance, let's find out hexadecimal representation for pi = 3.141592653589793...

integer part is evident - 0x3; as for fractional part (0.141592653589793) we have

  0.14159265358979 * 16 =  2.26548245743664; int part  2 (0x2); frac 0.26548245743664
  0.26548245743664 * 16 =  4.24771931898624; int part  4 (0x4); frac 0.24771931898624
  0.24771931898624 * 16 =  3.96350910377984; int part  3 (0x3); frac 0.96350910377984
  0.96350910377984 * 16 = 15.41614566047744; int part 15 (0xF); frac 0.41614566047744
  0.41614566047744 * 16 =  6.65833056763904; int part  6 (0x6); frac 0.65833056763904
  0.65833056763904 * 16 = 10.53328908222464; int part 10 (0xA); ...

So pi (hexadecimal) = 3.243F6A...

Possible (C#) implementation

public static String ToHex(Double value) {
  StringBuilder Sb = new StringBuilder();

  if (value < 0) {
    Sb.Append('-');

    value = -value;
  }

  // I'm sure you know how to convert decimal integer to its hexadecimal representation
  BigInteger bi = (BigInteger) value;
  Sb.Append(bi.ToString("X"));

  value = value - (Double)bi;

  // We have integer value in fact (e.g. 5.0)
  if (value == 0)
    return Sb.ToString();

  Sb.Append('.');

  // Double is 8 byte and so has at most 16 hexadecimal values
  for (int i = 0; i < 16; ++i) {
    value = value * 16;
    int digit = (int) value;

    Sb.Append(digit.ToString("X"));

    value = value - digit;

    if (value == 0)
      break;
  }

  return Sb.ToString();
}

Test

   Console.Write(ToHex(Math.PI)); // <- returns "3.243F6A8885A3"

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