课程：Scientific Computing
习题：Chapter 1，1.20 What is the IEEE single-precision binary floating-point representation of the decimal fraction 0.1
(a) with chopping?
(b) with rounding to nearest?
问题：向偶舍入
概念：书本P19, Round to nearest: fl(x) is the nearest floating-point number to x; in case of a tie, we use the floating-point number whose last stored digit is even. Because of the latter property, this rule is also sometimes called round to even.
资料：
1、《深入理解计算机系统（CSAPP）》
深入理解计算机系统（第二版）||http://pan.baidu.com/s/1i3KOnel
P75
2、《What Every Computer Scientist Should Know About Floating-Point Arithmetic》
浮点数结构详解||http://pan.baidu.com/s/1o6ICjZc
定理5
文章还提供了IEEE等更多相关内容
3、其他搜索资料
计算机系统原理（2.8）---浮点数的舍入，Java中的舍入例子以及浮点数运算||http://tech.ddvip.com/2013-10/1382982036204947.html
计算机舍入问题||http://blog.csdn.net/revilwang/article/details/7649509
补充：对于V = 0.yyyyy··· 的无穷二进制位（其中 y 是一个 k 位的序列，例如 1/3 = 0.01010101···，y = 01，k = 2），满足以下公式:
V = Y / (2^k - 1)
推导：V 左移 k 为为 y.yyyy···，也即 Y + V = V * 2^k，变换一下就可以得到公式。
用这种方法可以快速计算出某些二进制位代表的十进制数，比如 0.001001001··· = 1 / (2^3 - 1) = 1 / 7，0.000111000111000111··· = 7 / (2^6 - 1) = 7 / 63 = 1 / 9
