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

To convert a binary number to a hexadecimal number, we take four digits from the right-most part of the binary form to divide it into two sets. If there are less than four digits on the left, add extra zeros to the binary number. Then, the number is multiplied by ($2^n$).

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

In the above image, the binary number is divided into sets of four digits and then multiplied by $2^n$ ​​from right to left, with the power of $n$ increasing in the same direction. 

In this case, there are less than four digits on the left side once the set of four is made on the right, so we add `0` to that value as shown in the image above. The value of binary number `1101110` in hexadecimal form is `6E`.

# Code

Let's look at the below code snippet to understand it in a better way.

#include <iostream>
using namespace std;

int main() {
  int hex[1000];
  int i = 1, j = 0, rem, dec = 0, binaryNumber;
	cin>> binaryNumber;
  while (binaryNumber > 0) 
  {
    rem = binaryNumber % 2;
    dec = dec + rem * i;
    i = i * 2;
    binaryNumber = binaryNumber / 10;
  }
    i = 0;
  while (dec != 0) 
  {
    hex[i] = dec % 16;
    dec = dec / 16;
    i++;
  }

  cout<<" The hexadecimal value: ";
  for (j = i - 1; j >= 0; j--)
  {
    if (hex[j] > 9) 
      cout<<(char)(hex[j] + 55)<<"\n";
    else
      cout<<hex[j];
  }

  return 0;
}

>Enter a binary number in the input section above.

## Explanation

* In lines 5 and 6, we initialize the variables `hex`, `i`, `j`, `dec`, `rem`, and `binaryNumber`.

* In line 7, we take `binaryNumber` as input.

* From lines 8 to 21, we initialize a `while` loop. In the loop, we calculate the remainders and quotients, as we discussed in the above illustration, to convert the binary number to its hexadecimal equivalent.

* In line 23, we print the output, i.e., the hexadecimal equivalent of the binary number.

* From lines 23 to 30, we initialize a `for` loop where we have given conditions to print an integer value if the value is less than `9`. Otherwise, we print the character value.



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

Code

Explanation