And truth table
| x | y | x .and. y? | 
| T | T | T | 
| T | F | F | 
| F | T | F | 
| F | F | F | 
Exclusive Or truth table
| x | y | x .xor. y? | 
| T | T | F | 
| T | F | T | 
| F | T | T | 
| F | F | F | 
Implies truth table
| x | y | x .implies. y? | 
| T | T | T | 
| T | F | F | 
| F | T | T | 
| F | F | T | 
Not truth table
| x | .not. x? | 
| F | T | 
| T | F | 
Not And truth table
| x | y | .not. (x .and. y)? | 
| T | T | F | 
| T | F | T | 
| F | T | T | 
| F | F | T | 
Not Exclusive Or truth table
| x | y | .not. (x .xor. y)? | 
| T | T | T | 
| T | F | F | 
| F | T | F | 
| F | F | T | 
Not Or truth table
| x | y | .not. (x .or. y)? | 
| T | T | F | 
| T | F | F | 
| F | T | F | 
| F | F | T | 
Or truth table
| x | y | x .or. y? | 
| T | T | T | 
| T | F | T | 
| F | T | T | 
| F | F | F |