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**Harold****Guest**

Is ther a function that finds nth digit of a natural number(like f_2(3250)= 5) if there is how is it defined?

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

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

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**Harold****Guest**

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.

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

hi Harold,

Not that I know of. Others may know.

The INT approach could be written as a formula but it wouldn't be simple.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**Harold****Guest**

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.)

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,250

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

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

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