How do you plan to solve it?
 
 
const int sw1 = 2;
const int sw2 = 3;
const int ledAND = 8;
const int ledOR  = 9;
const int ledNAND = 10;
const int ledNOR  = 11;
void setup() {
  pinMode(sw1, INPUT_PULLUP);
  pinMode(sw2, INPUT_PULLUP);
  pinMode(ledAND, OUTPUT);
  pinMode(ledOR, OUTPUT);
  pinMode(ledNAND, OUTPUT);
  pinMode(ledNOR, OUTPUT);
}
void loop() {
  // Invert logic because INPUT_PULLUP: LOW = pressed
  bool A = !digitalRead(sw1);
  bool B = !digitalRead(sw2);
  // Logic gate outputs
  digitalWrite(ledAND, A && B);
  digitalWrite(ledOR, A || B);
  digitalWrite(ledNAND, !(A && B));
  digitalWrite(ledNOR, !(A || B));
}

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