{{ '' + variable }} | {{ '' + node }} |
---|---|
{{ cell }} |
Enter a boolean expression such as A ^ (B v C)
in the box and click Build table.
Supported operations are AND
, OR
, NOT
, XOR
,
IMPLIES
, PROVIDED
and EQUIV
.
Operations and constants are case-insensitive.
Variables are case sensitive, can be longer than a single character, can only contain alphanumeric characters, digits and the underscore character, and cannot begin with a digit.
Operations
Operations are executed in order of precedence, from higher to lower.
Operations with the same precedence are executed from left to right.
To execute a particular operation first, surround it with parenthesis ( )
.
Operation | Aliases | Evaluates to true if | Evaluates to false if | Precedence |
---|---|---|---|---|
NOT A |
~ ' ! ¬ |
A is false. | A is true. | highest |
A AND B |
∧ ^ & · * |
both A and B are true. | either or both are false. | middle |
A EQUIV B |
⇔ ≡ ↔ = |
both A and B are true; or both are false. | one is true and the other is false. | middle |
A IMPLIES B |
⇒ → ⊂ < |
A is false; or A is true and B is true. | A is true and B is false. | middle |
A PROVIDED B |
⇐ ← ⊃ > |
A is true and B is true; or B is false. | A is false and B is true. | middle |
A OR B |
∨ v + ∥ | |
A is true; B is true; or both are true. | both are false. | lowest |
A XOR B |
⊻ ⊕ |
A is true and B is false; or A is false and B is true. |
both are true or both are false. | lowest |
Constants
Constant | Aliases | Description |
---|---|---|
TRUE |
1 T ⊤ true |
Always evaluates to true. |
FALSE |
0 F ⊥ false |
Always evaluates to false. |