Decimal Number System:

It is base 10 number system which uses the digits from 0 to 9.

Hexadecimal Number System:

It is base 16 number system which uses the digits from 0 to 9 and A, B, C, D, E, F.

Logic to Convert Decimal to Hexadecimal C++:

1. Divide the original decimal number by 16.
2. Divide the quotient by 16.
3. Repeat the step 2 until we get quotient equal to zero.
4. Equivalent Hexadecimal number would be the remainders of each step in the reverse order.

Download Source Code:

 

[adinserter block=”1″]

Download: dectohex.cpp

PROGRAM:

#include<iostream>
using namespace std;
int main()
{
    long int decimalNumber,remainder,quotient;
    int i=1,j,temp;
    char hexadecimalNumber[100];
    cout<<"Enter any decimal number: ";
    cin>>decimalNumber;
    quotient = decimalNumber;
    while(quotient!=0)
    {
         temp = quotient % 16;
      //To convert integer into character
      if( temp < 10)
           temp =temp + 48;
      else
         temp = temp + 55;
      hexadecimalNumber[i++]= temp;
      quotient = quotient / 16;
    }
    cout<<"nEquivalent hexadecimal number of "<<decimalNumber<<" is : ";
    for(j = i -1 ;j> 0;j--)
      cout<<hexadecimalNumber[j];
    cout<<endl;
    return 0;
}

 

How Code Works:

Let user enter 900.

• 900 / 16 Remainder : 4 , Quotient : 56
• 56 / 16 Remainder : 8 , Quotient : 3
• 3 / 16 Remainder : 3 , Quotient : 0

Now Hexadecimal Number is remainders in each step in reverse order i.e. 384

Hence, hexadecimal equivalent of 900 is 384.

OUTPUT: