Calculate the product of A and B by hand, assuming A and B are stored in the modified 16-bit NVIDIA format described in 3.11.2. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps; however, as is done in the example in the text, you can do the multiplication in human-readable format instead of using the techniques described in Exercises 3.4 through 3.6. Indicate if there is overflow or underflow. Write your answer as a 16-bit pattern, and also as a decimal number. How accurate is your result? How does it compare to the number you get if you do the multiplication on a calculator?

Floating point multiplication is even more complicated and challenging than floating point addition, and both pale in comparison to floating point division. The following table shows pairs of decimal numbers.

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a. b. A -8.0546875 x 10⁰ 8.59375 x 10-² В -1.79931640625 x 10-1 8.125 x 10-1