Floating Point Systems Lecture 4 Continued
CS 6210 Fall 2016
Bei Wang
Lecture 4
Floating Point Systems
Continued
Take home message
1.
2.
3.
4.
5.
6.
7.
8.
9.
Floating point rounding
Rounding unit
64 bit word: double precision (IEEE standard word)
Exact rounding
Guard digits
General floating point systems
Spacing of floating point numbers
Cancellation error
Good coding practice in floating point arithmetic
The almost complete story on
FP rounding
Decimal FP rounding (Integer rounding), Binary FP rounding
Possibly all you have to know about FP rounding
ON THE WHITEBOARD
Guard Digit
ON THE WHITEBOARD
Rounding Unit
ON THE WHITEBOARD
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