**I’d like to thank ****Tim**** for clearing this up for me:**

INPUT A 0 0 1 1 Meaning B 0 1 0 1

OUTPUT FALSE 0 0 0 0 Whatever A and B, the output is false. Contradiction.

A AND B 0 0 0 1 Output is true if and only if (iff) both A and B are true.

A B 0 0 1 0 A doesn’t imply B. True iff A but not B.

A 0 0 1 1 True whenever A is true.

A B 0 1 0 0 A is not implied by B. True iff not A but B.

B 0 1 0 1 True whenever B is true.

A XOR B 0 1 1 0 True iff A is not equal to B.

A OR B 0 1 1 1 True iff A is true, or B is true, or both.

A NOR B 1 0 0 0 True iff neither A nor B.

A XNOR B 1 0 0 1 True iff A is equal to B.

NOT B 1 0 1 0 True iff B is false.

A B 1 0 1 1 A is implied by B. False if not A but B, otherwise true.

NOT A 1 1 0 0 True iff A is false.

A B 1 1 0 1 A implies B. False if A but not B, otherwise true.

A NAND B 1 1 1 0 A and B are not both true.

TRUE 1 1 1 1 Whatever A and B, the output is true. Tautology

**Logic functions can be quite useful if you understand them!**