[理工] [計組]浮點數

[VB2005 (DaiJouBu)]

assume we are designing a 16bit mips cpu with 16 bit instruction words.

(1)assume the ieee-754 floating-point representation is also adjusted to

   16bit long for this 16bit mips cpu. if the floating-point numbers are

   required to represent the values within ±10^18 , what are the numbers

   of bits of the feilds (a)(b)(c) in this 16 bit floating-point format？

   please your reasons,(assume log 2 = 0.3 )
                                  10

   sign    exponent   mantissa

    (a)        (b)       (c)



   請問：
           (b)  6bit    (c) 9bit    怎麼來的。      謝謝…

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→ BaaaSwin:表示範圍10^18內->2^60內->Exponent=6->mantissa=16-1-6
→ VB2005:2^60內->Exponent=6 可以再說明一下嗎？
→ Bearcome:2^6=64 你只需要60
→ VB2005:哦~~了解。謝謝
→ BaaaSwin:6個Exponent可以表達到2的-30~31次方!
→ Murasaki0110:請問, 可是題目要求不是要到2^60
→ BaaaSwin:不是表達的數要在2^60以內嗎@@?還是我誤會了
→ BaaaSwin:我想說如果7bit表達的數就超過2^60了