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#1 2013-02-04 22:50:09
- Harold
- Guest
Nth digit function
Is ther a function that finds nth digit of a natural number(like f_2(3250)= 5) if there is how is it defined?
#2 2013-02-04 23:04:51
- bob bundy
- Moderator
Offline
Re: Nth digit function
hi Harold,
If you can describe what a function does then it exists. I understand what your function does so you have answered your own question.
But I expect you mean can I press a button and get that result. That depends on where the button is.
I don't think any calculators do this but you can certainly do it using MS Excel. You'd have to convert the integer to a string, use MID$ to extract the digit you wanted and then convert the string back to a number.
Or you could divide by the power of ten that makes your digit in the tenths place.
Use <number> - INT<number> to remove the whole numbered part.
Times by ten and use INT to remove the decimal part and you are left with the required digit.
If you are trying to do this as part of a computer program, then you'd better say what language you are using.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#3 2013-02-04 23:19:55
- Harold
- Guest
Re: Nth digit function
No, i meant is there any way to get a relation for the function,like digital root is defined as sum of digits but it's simple relation is dr(x)= x mod 9.
#5 2013-02-05 03:42:43
- Harold
- Guest
Re: Nth digit function
Will f_n(x)= [10{x/10^n}] be a relation where [] is integer part and {} is fractional part?(i got the idea from your first post.)
#6 2013-02-05 03:51:12
- bobbym
- Administrator
Online
Re: Nth digit function
Hi;
If you just want to peel digits off use this function
where n is the number and p is the position.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#7 2013-02-05 04:02:15
- bob bundy
- Moderator
Offline
Re: Nth digit function
Yes, that looks good to me. How about an extra bracket?
f_n(x)= [10{x/(10^n)}]
in case you get x/10 then raised to the power n.
Not sure if that's really needed.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei