gibson:teaching:fall-2016:math753:hw1
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gibson:teaching:fall-2016:math753:hw1 [2016/09/15 08:07] gibson |
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| **Problem 6:** This one's proving challenging for people. Some hints: | **Problem 6:** This one's proving challenging for people. Some hints: | ||
| - | How many of the 7s will survive when ``x = 4778 + 3.77777e-10'' is computed in 16 digits? Same for ''y''. | + | How many of the 7s will survive when ''x = 4778 + 3.77777e-10'' is computed in 16 digits? Same for ''y''. |
| Once you have those rounded numbers, how many significant digits will survive in the floating=point computations $x+y$, $x-y$, etc.? If you can't figure this out, go ahead and do the computations in 64 bits and see if you can explain the answers you get. | Once you have those rounded numbers, how many significant digits will survive in the floating=point computations $x+y$, $x-y$, etc.? If you can't figure this out, go ahead and do the computations in 64 bits and see if you can explain the answers you get. | ||
| - | If you want to compare the 64-bit calculations to something more accurate, use Julia's 256-bit ''BigFloat'' type. There are two ways to get ''BigFloat''s | + | If you want to compare the 64-bit calculations to something more accurate, use Julia's 256-bit ''BigFloat'' type. There are two ways to get a ''BigFloat''. |
| <code> | <code> | ||
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