In Boolean logic, the AND operator is used to combine two values and will only return a true (1) result if both values are true (1). For example, if you have two conditions A and B, the expression A AND B will yield true only if both A and B are true. On the other hand, the NOR operator is a combination of NOT and OR. It produces a true (1) result only when both values are false (0). Therefore, if both A and B are false, the expression A NOR B will yield true. This means that the AND operator checks for both conditions being true, while the NOR operator checks for both conditions being false.