# Hexadecimal to Decimal Conversion

“** Hexadecimal to Decimal Conversion**” is one of the classic programming problem exercise. Here, we are given a hexadecimal number, entered by user and our task is to write a program to convert the hexadecimal number to its equivalent decimal 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 (**Hexadecimal to Decimal Conversion*):

*Examples (*

**):***Hexadecimal to Decimal Conversion*Hexadecimal = A Decimal = 15 Hexadecimal = 4E Decimal = 78

The steps required to convert hexadecimal number into decimal number are as follows:

- Take Iterator = 1 and Decimal = 0.
- Read the given hexadecimal string in reverse order character by character.
- If the character encountered is digit between 0 to 9, then convert it into number by subtracting 48 from it and store the result into temp.
- Else, if the character encountered is between ‘A’ to ‘F’, then convert it into number by subtracting 55 from it and store the result into temp.
- Decimal = Decimal + temp*iterator.
- Multiply the iterator by 16.
- Repeat the steps from 2 to 6 for all the characters of the hexadecimal string.
- Print the result.

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

```
/* C++ Program for Hexadecimal to Decimal Conversion */
#include<bits/stdc++.h>
using namespace std;
int main()
{
/* Scan the Hexadecimal Number */
string Hexadecimal;
cout<<"Enter the Hexadecimal Number: ";
cin>>Hexadecimal;
/* Converting Hexadecimal to Decimal*/
int Decimal = 0;
int iterator = 1;
int size = Hexadecimal.length();
for(int i = size - 1; i >= 0; i--)
{
int temp;
if(Hexadecimal[i]>='A' && Hexadecimal[i]<='F')
{
temp = Hexadecimal[i] - 55;
}
else
{
temp = Hexadecimal[i] - 48;
}
Decimal = Decimal + temp*iterator;
iterator = iterator * 16;
}
/*Printing the result */
cout<<"The Decimal of "<<Hexadecimal<<" is "<<Decimal;
}
```

Enter the Hexadecimal Number: 4E The Decimal of 4E is 78OUTPUT:

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