Classic example off the wikipedia:
i 6 × 2i × ti, first form 6 × 2i × ti, second form
0 3.4641016151377543863 3.4641016151377543863
1 3.2153903091734710173 3.2153903091734723496
2 3.1596599420974940120 3.1596599420975006733
3 3.1460862151314012979 3.1460862151314352708
4 3.1427145996453136334 3.1427145996453689225
5 3.1418730499801259536 3.1418730499798241950
6 3.1416627470548084133 3.1416627470568494473
7 3.1416101765997805905 3.1416101766046906629
8 3.1415970343230776862 3.1415970343215275928
9 3.1415937488171150615 3.1415937487713536668
10 3.1415929278733740748 3.1415929273850979885
11 3.1415927256228504127 3.1415927220386148377
12 3.1415926717412858693 3.1415926707019992125
13 3.1415926189011456060 3.1415926578678454728
14 3.1415926717412858693 3.1415926546593073709
15 3.1415919358822321783 3.1415926538571730119
16 3.1415926717412858693 3.1415926536566394222
17 3.1415810075796233302 3.1415926536065061913
18 3.1415926717412858693 3.1415926535939728836
19 3.1414061547378810956 3.1415926535908393901
20 3.1405434924008406305 3.1415926535900560168
21 3.1400068646912273617 3.1415926535898608396
22 3.1349453756585929919 3.1415926535898122118
23 3.1400068646912273617 3.1415926535897995552
24 3.2245152435345525443 3.1415926535897968907
25 3.1415926535897962246
26 3.1415926535897962246
27 3.1415926535897962246
28 3.1415926535897962246
The true value is 3.141592653589793238462643383...
Now if the accurate result from that calculation would mean whether a space stations crushes in Atlantic or stays in orbit, you understand why its important in supercomputers.
Last edited by GC_PaNzerFIN (2009-09-12 17:36:14)