Binary Blink

//Binary counter sketch
//1-25-12
//By: Caleb
//Only uses 5 LEDs to blink, since I only have 5 220-ohm resistors and five single color LEDs
//stops at 31 and resets to loop again (otherwise during the loop() method the pins will not change)
//Written for Arduino uno using the for loop example circuit
int timer = 100;
int count = 1;
void setup(){
   pinMode(2, OUTPUT);//0 or 1
   pinMode(3, OUTPUT);//2
   pinMode(4, OUTPUT);//4
   pinMode(5, OUTPUT);//8
   pinMode(6, OUTPUT);//16
}
void loop()
{
  int rem;
  for(count; count< 31; count++)
  {
    rem = count;
    if(rem>=16)
    {
      digitalWrite(6, HIGH);
      rem = rem-16;
    }else{
      digitalWrite(6, LOW);
    }
    if(rem>=8)
    {
      digitalWrite(5, HIGH);
      rem = rem-8;
    }else{
      digitalWrite(5, LOW);
    }
    if(rem>=4)
    {
      digitalWrite(4, HIGH);
      rem = rem-4;
    }else{
      digitalWrite(4, LOW);
    }
    if(rem>=2)
    {
      digitalWrite(3, HIGH);
     rem = rem-2;
    }else{
      digitalWrite(3, LOW);
    }
    if(rem >=1)
    {
      digitalWrite(2, HIGH);
      rem  = rem-1;
    }else{
      digitalWrite(2, LOW);
    }
    delay(timer*4);
    for(int i = 2; i < 7; i++)
    {
      digitalWrite(i, LOW);
    }
  }
  count = 1;
}