Consider IEEE 754 single-precision floating-point numbers. (a) How many numbers can be represented by IEEE 754 single-precision

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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. 286 CHAPTER FIVE Digital Building Blocks
(b) How many additional numbers could be represented if ±∞ and NaN were not represented?
(c) Explain why ±∞ and NaN are given special representations.

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