十六进制浮点文字 [英] Hexadecimal Floating-point literals

问题描述

0x12.2P2 如何等于72.5？

我知道P后面的值叫做二进制指数，表示数乘以2的幂数？

解决方案

0x12。 2P2 是0x122 / 16 <10> * 2

• 0x122 = 290 ₁₀
  
• 除以16 10 = 18.125 ₁₀

li乘以2 2导致72.5 10




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在 P 之前的部分更正式（？），您可以使用这个经典换算表：



 小数点在这里▼
 + ----- + ----- +  - ---- + ----- +  -  + ----- + ----- + ----- + 
 | 16³| 16²| 16¹| 16⁰| | 16⁻¹| 16⁻²| 16⁻³| 
 + ----------------------------------------- + 
 | | | 1 | 2 |。| 2 | | | 
 + ----- + ----- + ----- + ----- +  -  + ----- + ----- + ----- + 
  

所以0x12.2是1⨯16¹+2x16⁰+2⨯16¹= 18.125




How does 0x12.2P2 equal 72.5?

I know that the value following the P, called the binary exponent, indicates the power-of-two by which the number is multiplied?

解决方案

0x12.2P2 is 0x122 / 16₁₀ * 2²

• 0x122 = 290₁₀
• divided by 16₁₀ = 18.125₁₀
• multiplied by 2² leads to 72.5₁₀

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More formally (?), for the part before the P, you can use this very classic conversion table:

     decimal point here  ▼
+-----+-----+-----+-----+-+-----+-----+-----+
| 16³ | 16² | 16¹ | 16⁰ | | 16⁻¹| 16⁻²| 16⁻³|
+-----------------------------------------+
|     |     |  1  |  2  |.|  2  |     |     |
+-----+-----+-----+-----+-+-----+-----+-----+

So 0x12.2 is 1⨯16¹+2x16⁰+2⨯16⁻¹ = 18.125

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