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How to convert a number from binary to decimal in C++

Vinisha Maheshwari

In this shot, we will discuss how to convert a number from binary to decimal in C++.

When we convert a binary number to a decimal number, we multiply each digit by (2n2^n).

Let’s look at the below image to understand how this conversion works.

Binary to decimal conversion

In the above image, the binary number is multiplied by 2n2^n from the right side to the left side with the increasing nn that is 202^0, 212^1,222^2 and so on. The value of binary number 10110 in decimal form is 22.

Code

Let’s look at the below code snippet to understand this better.

#include <iostream>
using namespace std;

int main() {
  int decimal = 0, binary, remainder, product = 1;
  cin >> binary;
  while (binary != 0) {
    remainder = binary % 10;
    decimal = decimal + (remainder * product);
    binary = binary / 10;
    product *= 2;
  }
  cout << "The number in the decimal notation is: " << decimal ;
  return 0;
}

Enter the input below

Conversion of a binary number to a decimal number in C++

Enter a binary number above in the input section.

Explanation

  • In line 5, we initialize the variables decimal, binary, remainder, and product.

  • In line 6, we take binary as input.

  • In lines 7 to 12, we initialize a while loop. In the loop, we make the required calculations, as discussed in the above illustration, to convert the binary number to its decimal equivalent.

  • In line 13, we print the output, i.e., the decimal equivalent of the binary number.

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