Not

¬

A B ¬A ¬B
F F T T
F T T F
T F F T
T T F F

¬A

¬C

And

A B A ⋀ B
F F F
F T F
T F F
T T T

A ⋀ B

A ⋀ B ⋀ C

Or

A B A ⋁ B
F F F
F T T
T F T
T T T

A ⋁ B

A ⋁ B ⋁ C

Exclusive Or (Xor)

A B A ⊕ B
F F F
F T T
T F T
T T F

A ⊕ B

A ⊕ B

A ⊕ B ⊕ C