浮點(diǎn)數(shù)小數(shù)部分轉(zhuǎn)換為二進(jìn)制 若浮點(diǎn)數(shù)x的754標(biāo)準(zhǔn)存儲(chǔ)格式為(C93B0000)(16)求其浮點(diǎn)數(shù)的十進(jìn)制數(shù)值?
若浮點(diǎn)數(shù)x的754標(biāo)準(zhǔn)存儲(chǔ)格式為(C93B0000)(16)求其浮點(diǎn)數(shù)的十進(jìn)制數(shù)值?1被轉(zhuǎn)換成二進(jìn)制12.5(10)=1100.1(2)=1.1001x2^3(2)2來(lái)計(jì)算順序碼,單精度附件e=127
若浮點(diǎn)數(shù)x的754標(biāo)準(zhǔn)存儲(chǔ)格式為(C93B0000)(16)求其浮點(diǎn)數(shù)的十進(jìn)制數(shù)值?
1被轉(zhuǎn)換成二進(jìn)制12.5(10)=1100.1(2)=1.1001x2^3(2)2來(lái)計(jì)算順序碼,單精度附件e=127 3=130=10000000(2)3來(lái)排序尾數(shù),23位,去掉110010000000000004的整數(shù)部分并添加符號(hào)位,get 32位浮點(diǎn)數(shù)0100000010100000000000000000005寫(xiě)為十六進(jìn)制12.5=0x41480000(f)-12.5符號(hào)位為1-12.5=0xc1480000(f)
一道計(jì)算機(jī)方面計(jì)算題若浮點(diǎn)數(shù)x的754標(biāo)準(zhǔn)?
[例1]如果浮點(diǎn)數(shù)x的754標(biāo)準(zhǔn)存儲(chǔ)格式為(41360000)16,則查找浮點(diǎn)數(shù)的十進(jìn)制值。解決方法:將十六進(jìn)制展開(kāi)后,得到二進(jìn)制數(shù)格式為0 1000001,0 011011000000000,s e m index e=1000001,0-01111111=00000011=(3)10,包括隱藏位1的尾數(shù)。M=1.01101100000000000000,所以x=(-1)^0*(1。M) *2^(e-127)=(1.0110111)2*2^3=(11.375)10