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#include <iostream>
#include <cmath>
#include <string>
using namespace std;
 
int mpow(int a,int b){
	auto r=1;
	for (auto i = 0;i<b;i++){
		r*=a;
	}	
	return r;
}
 
string dec2nth(int k,int n){
	int j = log(k+0.5)/log(n);
	j++;
	auto z = 0;
	string result = "";
	for (int i = j-1;i>=0;i--){
		z = 0;
		while(mpow(n,i)<=k){
			k -= mpow(n,i);
			z++;
		}
		result += to_string(z);
	}
	return result;
}
int nth2dec(string k,int n){
	auto j = k.length();
	auto result = 0;
	for (int i=j-1;i>=0;i--){
		result += atoi(k.substr(j-1-i,1).c_str())*mpow(n,i);
	}
	return result;
}
 
string mth2nth(string k,int m,int n){
	int result1 = nth2dec(k,m);\
	return dec2nth(result1,n);
}
string bin2hex(string k){
	int prom;
	string res = "";
	for (int i = 0;i<ceil(k.length()/4);i++){
		prom = nth2dec(k.substr(4*i,4),2);
		if (prom < 10){
			res += to_string(prom);
		}
		else {
			res += char(55+prom);
		}
	}
	return res;
}
 
string nth2hex(string k,int l){
	string res1 = mth2nth(k,l,2);
	return bin2hex(res1);
}
 
string hex2nth(string k,int l){
	auto j = k.length();
	auto result = 0;
	auto q = 0;
	for (int i=j-1;i>=0;i--){
		if (r<10){
			q = atoi(k.substr(j-1-i,1).c_str());
		}
		else {
			q = (int)k.substr(j-1-i,1).c_str()[0] - 55;
		}
		result += atoi(q)*mpow(16,i);
	}
	return mth2nth(to_string(result),10,l);	
}
 
int main() {
	//cout << mth2nth("",2,8);
	cout << hex2nth("FFF",10);
	return 0;
}

prog.cpp: In function ‘std::string hex2nth(std::string, int)’:
prog.cpp:67:7: error: ‘r’ was not declared in this scope
   if (r<10){
       ^
prog.cpp:73:19: error: invalid conversion from ‘int’ to ‘const char*’ [-fpermissive]
   result += atoi(q)*mpow(16,i);
                   ^
In file included from /usr/include/features.h:371:0,
                 from /usr/include/i386-linux-gnu/c++/4.8/bits/os_defines.h:39,
                 from /usr/include/i386-linux-gnu/c++/4.8/bits/c++config.h:426,
                 from /usr/include/c++/4.8/iostream:38,
                 from prog.cpp:1:
/usr/include/stdlib.h:278:1: error:   initializing argument 1 of ‘int atoi(const char*)’ [-fpermissive]
 __NTH (atoi (const char *__nptr))
 ^

Standard output is empty