Yes. http://www.wolframalpha.com/input/?i=1%2F10+in+base+2 http://www.wolframalpha.com/input/?i=1%2F10+in+base+2 TL;DR: 1/10 has an infinite repeating binary

Yes. http://www.wolframalpha.com/input/?i=1%2F10+in+base+2 http://www.wolframalpha.com/input/?i=1%2F10+in+base+2 TL;DR: 1/10 has an infinite repeating binary expansion. (think 1/3 in decimal - 0.3333333) The part that really gets you into trouble is that the repeating pattern is 0011, which means it rounds differently depending on how many digits of precision you give it.