计算机在进行浮点数的相加(减)运算前需先进行对阶操作,若x的阶码大于y的阶码,则应将( )。
- A.x的阶码缩小至与y的阶码相同,并对x的尾数进行算术左移
- B.x的阶码缩小至与y的阶码相同,并对x的尾数进行算术右移
- C.y的阶码扩大至与x的阶码相同,并对y的尾数进行算术左移
- D.y的阶码扩大至与x的阶码相同,并对y的尾数进行算术右移
正确答案及解析
正确答案
解析
在浮点数加减运算时,首先要进行对阶,根据对阶的规则,阶码和尾数将进行相应的操作。对阶,首先应求出两数阶码Ex和Ey之差,即△E=Ex-Ey若△E=0,表示两数阶码相等,即Ex=Ey;若△E>0,表示Ex>Ey;若△E<0,表示Ex<Ey。当Ex≠Ey时,要通过尾数的移位来改变Ex或Ey,使Ex=Ey相等。对阶的规则是:小阶向大阶看齐。即阶码小的数的尾数右移,每右移一位,阶码加1,直到两数的阶码相等为止。如:Ex=Ey,无需对阶。Ex>Ey,则My右移。每右移一位.Ey+1→Ey,直至Ex=Ey为止。Ex<Ey,则Mx右移。每右移一位,Ex+1→Ex,直至Ex=Ey为止。
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