Truth Table For Logical Operations
AND operation:
| p |
q |
p ∧ q |
| T |
T |
T |
| T |
F |
F |
| F |
T |
F |
| F |
F |
F |
OR operation:
| p |
q |
p ∨ q |
| T |
T |
T |
| T |
F |
T |
| F |
T |
T |
| F |
F |
F |
Negation Operation:
Conditional Operation
| p |
q |
p ⇒ q |
| T |
T |
T |
| T |
F |
F |
| F |
T |
T |
| F |
F |
T |
Biconditional Operation:
| p |
q |
p ⇔ q |
| T |
T |
T |
| T |
F |
F |
| F |
T |
F |
| F |
F |
T |
Tautology and Fallacy
| p |
q |
p ⇒q |
q ⇒p |
(p⇒q)∨(q⇒p) |
∼{(p⇒q) ∨(q⇒p)} |
| T |
T |
T |
T |
T |
F |
| T |
F |
F |
T |
T |
F |
| F |
T |
T |
F |
T |
F |
| F |
F |
T |
T |
T |
F |
NAND Operation
| p |
q |
p NAND q |
| F |
F |
T |
| F |
T |
T |
| T |
F |
T |
| F |
F |
T |
NOR Operation
| p |
q |
p NOR q |
| F |
F |
T |
| F |
T |
F |
| T |
F |
F |
| T |
T |
F |
XOR Operation
| p |
q |
p XOR q |
| F |
F |
F |
| F |
T |
T |
| T |
F |
T |
| T |
T |
F |