Latch an OUTPUT in arduino

Here is my code :

// Arduino INPUTS
int remote1 = 12; // Connected to DAQ's DO0
int remote2 = 11; // Connected to DAQ's DO1
int doorclosed = 10; // Connected to DAQ's DO2
int dooropened = 9; // Connected to DAQ's DO3
// Arduino OUTPUTS
int dooropen = 7; // Connected to DAQ's DI0
int doorclose = 6; // Connected to DAQ's DI1

void setup()
{
  pinMode(remote1, INPUT);
  pinMode(remote2, INPUT);
  pinMode(doorclosed, INPUT);  
  pinMode(dooropened, INPUT);    
  pinMode(doorclose, OUTPUT);  
  pinMode(dooropen, OUTPUT);    
}

void loop()
{
  if(digitalRead(remote1) == HIGH )
   {
    digitalWrite(dooropen, HIGH);
  }
  
  if(digitalRead(remote2) == HIGH )
 {
    digitalWrite(doorclose, HIGH);  
  }
   
  if(digitalRead(dooropened) == HIGH )
   {
    digitalWrite(dooropen, LOW);
  }  
  
  if(digitalRead(doorclosed) == HIGH )
   {
    digitalWrite(doorclose, LOW);
  }    
}

Here is my code :

And . . ?