
March 14th, 2003, 08:05 AM
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jasondoucette.com
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Join Date: Feb 2003
Location: Canada
Posts: 378

Time spent in forums: 7 h 23 m 8 sec
Reputation Power: 11
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I just had an interesting thought on this subject: Even though all numbers in base-10 cannot be represented accurately with a finite number of digits in base-2, all numbers in base-2 can be accurately represented accurately with a finite number of digits in base-10.
This is because 1, 1/2, 1/4, 1/8, etc are shown in base-10 as so:
1
0.5
0.25
0.125
0.0625
0.03125
0.015625
0.0078125
0.00390625
etc.
You will notice that these numbers (and all that follow them) can be represented accurately in base-10. Therefore, any binary number can be represented accurately in base-10, as all binary numbers are just sums of one or more of these numbers (and/or multiples of 1).
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