See also:<p><a href="http:&#x2F;&#x2F;cs.furman.edu&#x2F;digitaldomain&#x2F;more&#x2F;ch6&#x2F;dec_frac_to_bin.htm" rel="nofollow">http:&#x2F;&#x2F;cs.furman.edu&#x2F;digitaldomain&#x2F;more&#x2F;ch6&#x2F;dec_frac_to_bin....</a><p>&quot;.1 (decimal) = .00011001100110011 . . . (base 2)&quot;<p>Notice the repeating pattern? The exact number must have infinite number of binary digits. Wherever you cut (whichever fixed number of bits you want to keep) you lose something.