# Decimal to Hexadecimal Conversion

“** Decimal to Hexadecimal Conversion**” is a one of the classic programming problem exercise for beginners. Here, we are given a Decimal Number, entered by user and our task is to write a program to convert the given Decimal Number to its equivalent Hexadecimal Number.

Hexadecimal Numbers uses 16 values to represent the number. Numbers from __0-9 are expressed by digits 0-9 and 10-15 are represented by characters from A – F__**. **

**Examples (Decimal to Hexadecimal Conversion):**

Decimal = 15 Hexadecimal = A Decimal = 78 Hexadecimal = 4E

The steps required for decimal to hexadecimal conversion are as follows:

- Initialize an empty string which will store hexadecimal number.
- Store the remainder when the decimal number is divisible by 16.
- If the remainder is less than 10, then convert the remainder number into character by (remainder + 48) and insert it to hexadecimal string at the front.
- Else if the remainder is greater than 9, then convert the remainder number into character by (remainder + 55) and insert it to hexadecimal string at the front.
- Divide the decimal number by 16.
- Repeat the steps from 2 to 5 until decimal number is greater than 0.
- Print the Hexadecimal number.

**C++ Program for Decimal to Hexadecimal Conversion is as follows:**

```
/* C++ Program for Decimal to Hexadecimal Conversion */
#include<bits/stdc++.h>
using namespace std;
int main()
{
/* Scan the Decimal Number */
int Decimal;
cout<<"Enter the Decimal Number: ";
cin>>Decimal;
/* Converting Decimal to Hexadecimal */
string Hexadecimal;
int temp = Decimal;
while(temp!=0)
{
int remainder = temp % 16;
if(remainder >=0 && remainder <=9)
{
char ch = remainder + 48;
Hexadecimal = ch + Hexadecimal;
}
else
{
char ch = remainder + 55;
Hexadecimal = ch + Hexadecimal;
}
temp = temp / 16;
}
/*Printing the result */
cout<<"The Hexadecimal of "<<Decimal<<" is "<<Hexadecimal;
}
```

Enter the Decimal Number: 78 The Hexadecimal of 78 is 4EOUTPUT:

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