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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 ($2^n$).

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 $2^n$ from the right side to the left side with the increasing $n$ that is $2^0$, $2^1$,$2^2$ 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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