Check out example codes for "subtracting two large numbers". It will help you in understanding the concepts better.

Code Example 1

// C++ program to find difference of two large numbers. 
#include<bits/stdc++.h> 
using namespace std; 
  
// Returns true if str1 is smaller than str2. 
bool isSmaller(string str1, string str2) 
{ 
    // Calculate lengths of both string 
    int n1 = str1.length(), n2 = str2.length(); 
  
    if (n1 < n2) 
    return true; 
    if (n2 < n1) 
    return false; 
  
    for (int i=0; i<n1; i++) 
    if (str1[i] < str2[i]) 
        return true; 
    else if (str1[i] > str2[i]) 
        return false; 
  
    return false; 
} 
  
// Function for find difference of larger numbers 
string findDiff(string str1, string str2) 
{ 
    // Before proceeding further, make sure str1 
    // is not smaller 
    if (isSmaller(str1, str2)) 
        swap(str1, str2); 
  
    // Take an empty string for storing result 
    string str = ""; 
  
    // Calculate length of both string 
    int n1 = str1.length(), n2 = str2.length(); 
  
    // Reverse both of strings 
    reverse(str1.begin(), str1.end()); 
    reverse(str2.begin(), str2.end()); 
      
    int carry = 0; 
  
    // Run loop till small string length 
    // and subtract digit of str1 to str2 
    for (int i=0; i<n2; i++) 
    { 
        // Do school mathematics, compute difference of 
        // current digits 
          
        int sub = ((str1[i]-'0')-(str2[i]-'0')-carry); 
          
        // If subtraction is less then zero 
        // we add then we add 10 into sub and 
        // take carry as 1 for calculating next step 
        if (sub < 0) 
        { 
            sub = sub + 10; 
            carry = 1; 
        } 
        else
            carry = 0; 
  
        str.push_back(sub + '0'); 
    } 
  
    // subtract remaining digits of larger number 
    for (int i=n2; i<n1; i++) 
    { 
        int sub = ((str1[i]-'0') - carry); 
          
        // if the sub value is -ve, then make it positive 
        if (sub < 0) 
        { 
            sub = sub + 10; 
            carry = 1; 
        } 
        else
            carry = 0; 
              
        str.push_back(sub + '0'); 
    } 
  
    // reverse resultant string 
    reverse(str.begin(), str.end()); 
  
    return str; 
} 
  
// Driver code 
int main() 
{ 
    string str1 = "978"; 
    string str2 = "12977"; 
    cout << findDiff(str1, str2) << endl; 
      
    string s1 = "100"; 
    string s2 = "1000000"; 
    cout << findDiff(s1,s2); 
      
    return 0; 
}

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