Template:Digit
From System 4ce Wiki
This template gives the digit at a given position of a given positive integer, expressed in a specified numeral system.
- The first parameter gives the number.
- The second parameter is the position of the required digit (1 being the rightmost, 2 the one to the left, etc.).
- The third parameter is the radix of the numeral system (default:10), 2 for binary, 8 for octal, 16 for hexadecimal.
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")
- Usage:
- Template:Tlx
- All parameters must be positive integers.
Examples
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
Large numbers of type integer
Special care has been taken to make the result exact even for large numbers of type integer.
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
- Template:Xpsoc
Limitation
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:
At least for powers with base <= 30 there are no errors with the test value 17 as first argument, see Help:Mod/powers.
