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Add two unsigned numbers using bitwise operations in C++

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Add two unsigned numbers using bitwise operations in C++

An unsigned number represented as a bit stream written in binary form. The binary form of

54 is 110110.

To add two numbers using bits, we will add them in binary form using binary addition logic. The rule for

bit addition is -

  • 0 0 = 0
  • 1 0 = 1
  • 0 1 = 1
  • 1 1 = 0, carry = 1

Let’s take an example, add two numbers,

Input: a = 21 (10101) , b = 27 (11011)
Output: 48 (110000)

Explanation - 10101 11011 = 110000. We will add bits starting from the least significant bit. Then spread to the next person.

Example

#include <bits/stdc++.h>
#define M 32
using namespace std;
int binAdd (bitset < M > atemp, bitset < M > btemp){
   bitset < M > ctemp;
   for (int i = 0; i < M; i++)
      ctemp[i] = 0;
   int carry = 0;
   for (int i = 0; i < M; i++) {
      if (atemp[i] + btemp[i] == 0){
         if (carry == 0)
            ctemp[i] = 0;
         Else {
            ctemp[i] = 1;
            carry = 0;
         }
      }
      else if (atemp[i] + btemp[i] == 1){
         if (carry == 0)
            ctemp[i] = 1;
         else{
            ctemp[i] = 0;
         }
      }
      else{
         if (carry == 0){
            ctemp[i] = 0;
            carry = 1;
         }
         else{
            ctemp[i] = 1;
         }
      }
   }
   return ctemp.to_ulong ();
}
int main () {
   int a = 678, b = 436;
   cout << "The sum of " << a << " and " << b << " is ";
   bitset < M > num1 (a);
   bitset < M > num2 (b);
   cout << binAdd (num1, num2) << endl;
}

Output

The sum of 678 and 436 is 1114

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