Assigned 20 Oct, 1998
Due 5 Nov, 1998
Work out, but don't turn in
- Textbook problems 5.2-5.12 (as many problems as you think you need
to be certain you understand what's going on). See if you get the same
answers as your classmates.
- Textbook problems 6.3-6.9 (similarly).
To be turned in
Tue Oct 20 14:41:05 EDT 1998
Stephen Bloch / email@example.com
- Textbook problems 5.13, 5.14
(handle only the case of shifting by one bit)
- Textbook problems 6.1, 6.2, 6.13
- Suppose you are given a large (hundreds or thousands) sorted list
floating-point numbers, and are asked to add them up on a computer.
Should you add them in increasing order, decreasing order,
some other order, or does it not matter?
The IBM 370 used a floating-point format somewhat like the modern
IEEE standard (which hadn't been invented yet), but not quite the same.
The biggest difference was that
the exponent field was treated as a power of 16, rather than as a power
of 2. Thus for example the number 80 = 5 * 16 would be normalized to
1.010000... * 26 in IEEE, but to 0.101000... * 162
in IBM 370. Discuss the pros and cons of this approach
in contrast to the IEEE standard, with particular attention to precision