# View the format of IEEE 754 floating point numbers source code

This snippet submitted by Ali Nawkhas Murad on 2012-01-01. It has been viewed 28747 times.
Rating of 6.5 with 469 votes

```//  A simple and practical way to show the format of the IEEE standard
for binary floating-point numbers (IEEE 754) is to use a union, as shown in the following example:

#include <iostream>
#include <basetsd.h>
#include <iomanip>
#include <cstdlib>
using namespace std;

union FloatNum //Here the tag name (FloatNum) is redundant.
{
float fx;//4 bytes variable
long  lx;//4 bytes variable
}fn;

union DoubleNum
{
double dx;  //8 bytes variable
LONG64 lx;  //8 bytes variable
}dn;

union LongDoubleNum
{
long double dx;  //12 bytes variable
long  lx[3]; // 3 * 4 bytes variable
}ldn;

int main()
{
fn.fx = -118.6253433; //variable assignment declaration statement
//show size of float
cout << "\nsize of float = " << dec << sizeof(fn.fx) << endl;
cout << setprecision(10) << fn.fx << " = 0x" << hex << fn.lx << endl;

dn.dx =  112.6255678;  //assign value to a variable
//show size of double
cout << "\nsize of double = " << dec << sizeof(dn.dx) << endl;
cout << dn.dx <<"  = 0x" << hex << dn.lx << endl;

ldn.dx = -12.61256125;  //assign value to a variable
//show size of long double
cout << "\nsize of long double = " << dec << sizeof(ldn.dx) << endl;
cout << setprecision(10) << ldn.dx << " = 0x" << hex << ldn.lx[2] << ldn.lx[1] << ldn.lx[0] << endl;
return 0;
}```

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