PIR sensor programmig trouble

Using Arduino Programming Questions
1

Hello, I am using a PIR alarm sketch and would like to make the buzzer and LED buzz until I take the power away from the Arduino. Can you help me modify this sketch to make the buzzer and LED do so.

int ledPin = 13; // choose the pin for the LED
int inputPin = 2; // choose the input pin (for PIR sensor)
int pirState = LOW; // we start, assuming no motion detected
int val = 0; // variable for reading the pin status
int pinSpeaker = 10; //Set up a speaker on a PWM pin (digital 9, 10, or 11)

void setup() {
pinMode(ledPin, OUTPUT); // declare LED as output
pinMode(inputPin, INPUT); // declare sensor as input
pinMode(pinSpeaker, OUTPUT);
Serial.begin(9600);
}

void loop(){
val = digitalRead(inputPin); // read input value
if (val == HIGH) { // check if the input is HIGH
digitalWrite(ledPin, HIGH); // turn LED ON
playTone(300, 160);
delay(150);

if (pirState == LOW) {
// we have just turned on
Serial.println("Motion detected!");
// We only want to print on the output change, not state
pirState = HIGH;
}
} else {
digitalWrite(ledPin, LOW); // turn LED OFF
playTone(0, 0);
delay(300);
if (pirState == HIGH){
// we have just turned of
Serial.println("Motion ended!");
// We only want to print on the output change, not state
pirState = LOW;
}
}
}

// duration in mSecs, frequency in hertz
void playTone(long duration, int freq) {
duration *= 1000;
int period = (1.0 / freq) * 1000000;
long elapsed_time = 0;
while (elapsed_time < duration) {
digitalWrite(pinSpeaker,HIGH);
delayMicroseconds(period / 2);
digitalWrite(pinSpeaker, LOW);
delayMicroseconds(period / 2);
elapsed_time += (period);
}
}

2 
const int ledPin = 13;                // choose the pin for the LED
const int inputPin = 2;               // choose the input pin (for PIR sensor)
const int speakerPin = 10;           //Set up a speaker on a PWM pin (digital 9, 10, or 11)

void setup() {
  pinMode(ledPin, OUTPUT);      // declare LED as output
  pinMode(inputPin, INPUT);     // declare sensor as input
  pinMode(speakerPin, OUTPUT);
  Serial.begin(9600);
}

void loop(){
  if (digitalRead(inputPin)) {  // If the PIR sensor signals HIGH
    digitalWrite(ledPin, HIGH);  // turn LED ON
    // Sound buzzer forever
    int period = 1000000/300;  // 300 Hz
    while (true) {
      digitalWrite(speakerPin,HIGH);
      delayMicroseconds(period / 2);
      digitalWrite(speakerPin, LOW);
      delayMicroseconds(period / 2);
    }
  }
}