How many additional numbers could be represented

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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.

Reference no: EM131270087

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