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Tuesday, 8 December 2015

Decimal to Hexadecimal using C++



Decimal Number System: It is also called base 10 system or Denary system. It refer to any number written in decimal notation format.

Hexadecimal Number System: It is also called base 16 system or Hex system. It refer to any number written in hexadecimal notation format. It uses sixteen different symbols 0-9 and A, B, C, D, E, F represent 10-15.


Algorithm:

  1. Divide the decimal number by 16. Consider the division operation as an integer division.
  2. Note down the remainder (in hexadecimal).
  3. Divide the result again by 16 and again consider the division as an integer division.
  4. Repeat step 2 and 3 until result is 0.
  5. The hex value is the digit sequence of the remainders from the last to first







#include "iostream"
#include "conio.h"
#include "math.h"

using namespace std;

void dtoh(int d);
int main()
{
    int d;

    cout<< "Enter a decimal number system: ";
    cin >> d ;
    dtoh(d);
    return (0);
}

void dtoh(int d)
{
    int b,c=0,a[5],i=0;
    b=d;
    while (b>15)
    {
        a[i]=b%16;
        b=b/16;
        i++;
        c++;
    }
    a[i]=b;
    cout << "Its hexadecimal equivalent is : ";
    for (i=c;i>=0;--i)
    {
        if (a[i]==10)
        cout << "A";
        else if (a[i]==11)
        cout << "B";
        else if (a[i]==12)
        cout << "C";
        else if (a[i]==13)
        cout << "D";
        else if (a[i]==14)
        cout << "E";
        else if (a[i]==15)
        cout << "F";
        else
        cout << a[i];
    }
}
Input:    Decimal number : 12
Output: Hexadecimal number: C

Input:    Decimal number : 4023
Output: Hexadecimal number: FB7

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