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

typedef unsigned char byte;

void show_bytes(void * start, size_t len){

  printf("%lu bytes from %p:", len, start);

  int i;
  for(i = 0; i < len; i++){
    printf(" %.2x", ((byte *) start)[i]);
  }
  printf("\n");

}

void normalized_demo(){
  float f1 = 1.0;
  //show_bytes(&f1,4);

  float f2 = 1.25;
  //show_bytes(&f2,4);

  float f3 = 64;
  //show_bytes(&f3,4);

  float f4 = -.625;
  //show_bytes(&f4,4);

  float f5 = .375; // TODO: replace with answer to float example
  show_bytes(&f5,4);

  float f6 = 47; // TODO: replace with answer to exercise 4
  show_bytes(&f6,4);
  
}

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();

  associativity_demo();
  return 0;
}