#include <stdio.h>
#include <limits.h>
#include<math.h>


void normalized_demo(){
  float f1 = 1.0;
  printf("%f = 0x%x\n",f1, *((int*) &f1));

  float f2 = 1.25;
  printf("%f = 0x%x\n",f2, *((int*) &f2));

  float f3 = 64;
  printf("%f = 0x%x\n",f3,*((int*) &f3));

  float f4 = -.625;
  printf("%f = 0x%x\n",f4,*((int*) &f4));
}

void float_example(){
  float f5 = .375; // TODO: replace with answer 
  printf("%f = 0x%x\n",f5, *((int*) &f5));
}

void float_exercise(){
  float f6 = 47.0; // TODO: replace with answer 

  printf("%f = 0x%x\n", f6, *((int*) &f6));
}



void associativity_demo(){
  float a = pow(2,30);
  float b = -1*a;
  float c = 3.14;

  printf("(2^30 + -2^30) + 3.14 = %f\n", (a + b) + c);
  printf("2^30 + (2^30 + 3.14) = %f\n", a + (b + c));


  a = 30002;
  b = 20001;
  c = 10003;

  printf("(30002 * 20001) * 10003  = %f\n", (a * b) * c);
  printf(" 30002 * (20001 * 10003) = %f\n", a * (b * c));
}

int main()
{
  normalized_demo();
  float_example();
  float_exercise();

  //associativity_demo();
  return 0;
}