Added SimplestAlgorithm Two_Binary_string_addition

Author: Abhishek Jasiwal

algorithms/strings/adding_two_string.cpp

@@ -0,0 +1,59 @@
+/*
+Program : To add 2 string
+
+this Program is Contributed by github@b419007
+*/
+
+#include <iostream> 
+using namespace std; 
+
+int Len(string &str1, string &str2) 
+{ 
+    int len1 = str1.size(); 
+    int len2 = str2.size(); 
+    if (len1 < len2) 
+    { 
+        for (int i = 0 ; i < len2 - len1 ; i++) 
+            str1 = '0' + str1; 
+        return len2; 
+    } 
+    else if (len1 > len2) 
+    { 
+        for (int i = 0 ; i < len1 - len2 ; i++) 
+            str2 = '0' + str2; 
+    } 
+    return len1; 
+}
+
+string add( string a, string b ) 
+{ 
+    string result; 
+    int len = Len(a, b); 
+  
+    int carry = 0;
+    for (int i = len-1 ; i >= 0 ; i--) 
+    { 
+        int aBit = a.at(i) - '0'; 
+        int bBit = b.at(i) - '0'; 
+        int sum = (aBit ^ bBit ^ carry)+'0'; 
+  
+        result = (char)sum + result; 
+        carry = (aBit & bBit) | (bBit & carry) | (aBit & carry); 
+    } 
+
+    if (carry) 
+        result = '1' + result; 
+  
+    return result; 
+} 
+
+int main() 
+{ 
+    string str1,str2;
+    cout<<"Enter the string 1 :";
+    cin>>str1;
+    cout<<"Enter the string 2 :";
+    cin>>str2;
+    cout << "Sum is " << add(str1, str2); 
+    return 0; 
+}