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i've been working on a program that extends the limit of an integer using arrays

here is my code so far

```
#include<iostream>
#include<string>
using namespace std;
void sub();
void add();
void mult();
int main()
{
int operation;
cout<<"Please Enter a number"<<endl<<"1.Addition"<<endl<<"2.Subtraction"<<endl<<"3.Multiplication"<<endl<<endl;
cin>>operation;
if(operation == 1)
{
add();
}
if(operation == 2)
{
sub();
}
if(operation == 3)
{
mult();
}
int x; cin>>x;
return 0;
}
void add()
{
char s_num1[999],s_num2[999],s_ans[999];
int k=0, i,j,p,l1,l2;
int tens=0, ones,ans;
int v=0;
cout<<"Enter The First number"<<endl;
cin>>s_num1;
cout<<"Enter The Second number"<<endl;
cin>>s_num2;
for(l1=0;s_num1[l1]!='\0';l1++);
for(l2=0;s_num2[l2]!='\0';l2++);
l1--;
l2--;
for(i=l1,j = l2;(i>=0)&&(j>=0);i--,j--){
ans = (int) s_num1[i] + (int) s_num2[j] + tens - 2*48;
ones=ans%10;
tens=ans/10;
s_ans[k] = ones + 48;
k++;
}
while(i>=0){
ans = tens + (int) s_num1[i] -48;
ones=ans%10;
tens=ans/10;
s_ans[k] = ones + 48;
k++;
i--;
}
while(j>=0){
ans = tens + (int) s_num2[j] -48;
ones=ans%10;
tens=ans/10;
s_ans[k] = ones + 48;
k++;
j--;
}
if(tens!=0)
s_ans[k++] = tens+48;
for(p=k-1;p>=0;p--)
cout<<s_ans[p];
}
void sub()
{
int l1, l2,j,i,v=0,p;
char s_num2[999],s_num1[999];
int list[10000];
cout<<"Enter The First number"<<endl;
cin>>s_num1;
cout<<"Enter The Second number"<<endl;
cin>>s_num2;
for(l1=0;s_num1[l1]!='\0';l1++);
for(l2=0;s_num2[l2]!='\0';l2++);
l1--;
l2--;
for(i=l1, j = l2;(i>=0)&&(j>=0);i--,j--)
{
list[v] = s_num1[i] - s_num2[j];
if(list[v]<0)
{
list[v] = s_num1[i] - s_num2[j]+10;
s_num1[i-1]=s_num1[i-1]-1;
}
v++;
}
for(;(j<0)&&(i>=0);)
{
list[v]=s_num1[i] - '0';
v++;
i--;
}
for(p=0; p<v;v--)
{
cout<<list[v-1];
}
}
void mult()
{
//workin
}
}
```

now ive been using character array changing numbers like 2326 into list[]='2','3','2','6'. It has worked ok for addings and subbin but now i need to multiply two inputs....

SO HERES WHERE IM STUCK! I want to turn a input of a number such as 23123, into integer(not charaters)

list[0]=2

list[1]=3

list[2]=1

list[3]=2

list[4]=3

and i have no clue how to do it.... helps!