3.14.1 The Associative law is not the only one that does not always hold in dealing with floating point numbers. There are other oddities that occur as well. The following table shows sets of decimal numbers.

[30] <3.2, 3.3, 3.5, 3.6> Calculate A × (B + C) by hand, assuming A, B, and C are stored in the modified 16-bit NVIDIA format described in 3.11.2 (and also described in the text). Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.
 
 
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