Anything other than powers of 1/2 (or their multiples) results in a form that repeats endlessly.
Not quite. Anything other than sums of powers of 2 result in a form that repeats endlessly.
Sums of powers of 2 do not repeat endlessly. For example, 0.3125 is not a power of 2, yet it does not repeat because it is a sum of powers of 2 (2-2 + 2-4).
Note that "powers of 1/2" and "powers of 2" are synonymous.
Update: Nevermind. What you said and what I said are mathematically equivalent. 0.3125 is a multiple of a power of 2 (5 * 2-4).
-
Are you posting in the right place? Check out Where do I post X? to know for sure.
-
Posts may use any of the Perl Monks Approved HTML tags. Currently these include the following:
<code> <a> <b> <big>
<blockquote> <br /> <dd>
<dl> <dt> <em> <font>
<h1> <h2> <h3> <h4>
<h5> <h6> <hr /> <i>
<li> <nbsp> <ol> <p>
<small> <strike> <strong>
<sub> <sup> <table>
<td> <th> <tr> <tt>
<u> <ul>
-
Snippets of code should be wrapped in
<code> tags not
<pre> tags. In fact, <pre>
tags should generally be avoided. If they must
be used, extreme care should be
taken to ensure that their contents do not
have long lines (<70 chars), in order to prevent
horizontal scrolling (and possible janitor
intervention).
-
Want more info? How to link
or How to display code and escape characters
are good places to start.
|