A Program to Convert Decimal to Binary

In this example, we are giving a program to convert a number from decimal to binary.


Program to convert decimal to binary:

  1. #include <iostream>
  2. #include <cmath>
  3. using namespace std;
  4. long long convert(int n);
  5. int main() {
  6. int n;
  7. cout << "Enter a decimal number: ";
  8. cin >> n;
  9. cout << n << " in decimal = " << convert(n) << " in binary " << endl;
  10. return 0;
  11. }
  12. long long convert(int n) {
  13. long long bin = 0;
  14. int rem, i = 1, step = 1;
  15. while (n != 0) {
  16. rem = n % 2;
  17. cout << "Step " << step++ << ":" << n << "/2, Remainder = " << rem << "Quotient = " << n/2 << endl;
  18. n /= 2;
  19. bin += rem * i;
  20. i *= 10;
  21. }
  22. return bin;
  23. }

Output:

Enter a decimal number: 19
Step 1: 19/2, Remainder = 1, Quotient = 9
Step 2: 9/2, Remainder = 1, Quotient = 4
Step 3: 4/2, Remainder = 0, Quotient = 2
Step 4: 2/2, Remainder = 0, Quotient = 1
Step 5: 1/2, Remainder = 1, Quotient = 0
19 in decimal = 10011 in binary