1. Expand the steps in section 5.3.2 for performing floating-point addition to work for negative as well as positive floating-point numbers.
2. Consider IEEE 754 single-precision floating-point numbers.
(a) How many numbers can be represented by IEEE 754 single-precision floatingpoint format? You need not count ±∞ or NaN.
(b) How many additional numbers could be represented if ±∞ and NaN were not represented?
(c) Explain why ±∞ and NaN are given special representations.