Originally Posted by

**StevenBrown** I think that when you have a succession of zeros or of the highest digit after the "decimal" point in any number system, it indicates a close approach to the value being sought. For example, in hexadecimal, 0.4FFFFFF indicates a much closer approach to 0.5 than 0.481A32C, even though both are 0.5, rounded to one hexadecimal place. Likewise, 0.5000000A is much closer to 0.5 than 0.57123ABC, even though both are 0.5, rounded to one hexadecimal place. So, the beginning of a succession of zeros or of the highest digit is a good place to round the number off, in any number system except binary, where rounding degrades to truncating. For example, both 1.1010 and 1.1011, rounded to three places after the binary point, have to be 1.101