https://bsd.neuroinf.jp/w/index.php?action=history&feed=atom&title=%E3%83%86%E3%83%B3%E3%83%97%E3%83%AC%E3%83%BC%E3%83%88%3ADigitテンプレート:Digit - 版の履歴2026-04-16T23:23:51Zこのウィキのこのページに関する変更履歴MediaWiki 1.43.8https://bsd.neuroinf.jp/w/index.php?title=%E3%83%86%E3%83%B3%E3%83%97%E3%83%AC%E3%83%BC%E3%83%88:Digit&diff=29292&oldid=prevNijcadmin: 1版2015-03-14T03:15:30Z<p>1版</p>
<p><b>新規ページ</b></p><div><includeonly>{{digit/1|({{{1}}})|({{{2}}})|{{#if:{{{3|}}}|({{{3}}})|10}}}}</includeonly><noinclude><br />
<br />
This template gives the digit at a given position of a given positive integer, expressed in a specified [[w:numeral system|numeral system]].<br />
<br />
*The first parameter gives the number.<br />
*The second parameter is the position of the required digit (1 being the rightmost, 2 the one to the left, etc.).<br />
*The third parameter is the [[w:radix|radix]] of the numeral system (default:10), 2 for binary, 8 for octal, 16 for hexadecimal. <br />
For a radix > 10, the value is given in decimals, for instance, 15 in the hexadecimal system will give for the rightmost digit 15 (which should be "F")<br />
<br />
; Usage&#58;<br />
: {{Tlx|{{PAGENAME}}|''decimal integer''|''digit no''|''numeral system number''}}<br />
: All parameters must be positive integers.<br />
<br />
==Examples==<br />
*{{xpsoc|digit|13|1|2}}<br />
*{{xpsoc|digit|13|2|2}}<br />
*{{xpsoc|digit|13|3|2}}<br />
*{{xpsoc|digit|13|4|2}}<br />
<br />
*{{xpsoc|digit|9002543211234567|1}}<br />
*{{xpsoc|digit|9002543211234567|2}}<br />
*{{xpsoc|digit|9002543211234567|3}}<br />
*{{xpsoc|digit|9002543211234567|4}}<br />
*{{xpsoc|digit|9002543211234567|5}}<br />
*{{xpsoc|digit|9002543211234567|6}}<br />
*{{xpsoc|digit|9002543211234567|7}}<br />
*{{xpsoc|digit|9002543211234567|8}}<br />
*{{xpsoc|digit|9002543211234567|9}}<br />
*{{xpsoc|digit|9002543211234567|10}}<br />
*{{xpsoc|digit|9002543211234567|11}}<br />
*{{xpsoc|digit|9002543211234567|12}}<br />
*{{xpsoc|digit|9002543211234567|13}}<br />
*{{xpsoc|digit|9002543211234567|14}}<br />
*{{xpsoc|digit|9002543211234567|15}}<br />
*{{xpsoc|digit|9002543211234567|16}}<br />
*{{xpsoc|digit|9002543211234567|17}}<br />
*{{xpsoc|digit|9002543211234567|18}}<br />
*{{xpsoc|digit|9002543211234567|19}}<br />
<br />
*{{xpsoc|hex|9002543211234567}}<br />
<br />
*{{xpsoc|digit|9002543211234567|1|16}}<br />
*{{xpsoc|digit|9002543211234567|2|16}}<br />
*{{xpsoc|digit|9002543211234567|3|16}}<br />
*{{xpsoc|digit|9002543211234567|4|16}}<br />
*{{xpsoc|digit|9002543211234567|5|16}}<br />
*{{xpsoc|digit|9002543211234567|6|16}}<br />
*{{xpsoc|digit|9002543211234567|7|16}}<br />
*{{xpsoc|digit|9002543211234567|8|16}}<br />
*{{xpsoc|digit|9002543211234567|9|16}}<br />
*{{xpsoc|digit|9002543211234567|10|16}}<br />
*{{xpsoc|digit|9002543211234567|11|16}}<br />
*{{xpsoc|digit|9002543211234567|12|16}}<br />
*{{xpsoc|digit|9002543211234567|13|16}}<br />
*{{xpsoc|digit|9002543211234567|14|16}}<br />
*{{xpsoc|digit|9002543211234567|15|16}}<br />
<br />
==Large numbers of type integer==<br />
Special care has been taken to make the result exact even for large numbers of type integer.<br />
<br />
*{{xpsoc|digit|trunc(9134567890e9)+trunc123456789|1}}<br />
<br />
*{{xpsoc|#expr:trunc16*{{trunc|9002543211234567}}+trunc7}}<br />
<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|1}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|2}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|4}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|5}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|6}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|7}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|8}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|9}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|10}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|11}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|12}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|13}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|14}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|15}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|17}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|18}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|19}}<br />
<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|1|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|2|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|3|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|4|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|5|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|6|1e3}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|7|1e3}}<br />
<br />
*{{xpsoc|digit|{{int|90140406913|79753079}}|7|1e3}}<br />
*{{xpsoc|digit|{{int|90140406913|79753079}}|8|1e3}}<br />
<br />
*{{xpsoc|hex|{{int|1440406913|79753079}}}}<br />
<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|1|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|2|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|3|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|4|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|5|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|6|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|7|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|8|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|9|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|10|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|11|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|12|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|13|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|14|16}}<br />
*{{xpsoc|digit|{{trunc|1440406913|79753079}}|15|16}}<br />
<br />
==Limitation==<br />
This template applies function mod with as second argument the third parameter and a power of it. Therefore it does not work properly if one of these is equal to one of the values for which mod does not work properly. Known values are 2^n-1 and 2^n+1 for n >= 32:<br />
*{{xpsoc|digit|7|1|2^32-1}}<br />
*{{xpsoc|digit|2^40|1|2^32-1}}<br />
*{{xpsoc|digit|2^40|2|2^32-1}}<br />
At least for powers with base <= 30 there are no errors with the test value 17 as first argument, see [[Help:Mod/powers]]. <br />
<br />
[[Category:Mathematical templates|{{PAGENAME}}]]<br />
</noinclude></div>Nijcadmin