Logical Operator
Perform specified logical operation on input
 Library:
Simulink / Commonly Used Blocks
Simulink / Logic and Bit Operations
HDL Coder / Commonly Used Blocks
HDL Coder / Logic and Bit Operations
Description
The Logical Operator block performs the specified logical operation on its
inputs. An input value is true (1
) if it is nonzero and false
(0
) if it is zero.
You select the Boolean operation connecting the inputs with the
Operator parameter list. If you select
rectangular
as the Icon shape
property, the name of the selected operator displays on the block icon. If you select
distinctive
as the Icon shape
property, the name of the selected operator does not display on the block icon. This
table shows supported operations:
Operation  Description 

AND 
TRUE if all inputs are TRUE 
OR 
TRUE if at least one input is TRUE 
NAND 
TRUE if at least one input is FALSE 
NOR 
TRUE when no inputs are TRUE 
XOR 
TRUE if an odd number of inputs are TRUE 
NXOR 
TRUE if an even number of inputs are TRUE 
NOT 
TRUE if the input is FALSE 
If you select distinctive
as the Icon shape,
the block appearance indicates its function. Simulink^{®} software displays a distinctive shape for the selected operator,
conforming to the IEEE^{®} Standard Graphic Symbols for Logic Functions.
To specify the number of input ports, use the Number of input ports
parameter. The output type is specified using the Output data type
parameter. An output value is 1
if TRUE and 0
if
FALSE.
Note
The output data type should represent zero exactly. Data types that satisfy this condition include signed and unsigned integers, and any floatingpoint data type.
The size of the output depends on input vector size and the selected operator:
If the block has more than one input, any nonscalar inputs must have the same dimensions. For example, if any input is a 2by2 array, all other nonscalar inputs must also be 2by2 arrays.
Scalar inputs are expanded to have the same dimensions as the nonscalar inputs.
If the block has more than one input, the output has the same dimensions as the inputs (after scalar expansion) and each output element is the result of applying the specified logical operation to the corresponding input elements. For example, if the specified operation is AND and the inputs are 2by2 arrays, the output is a 2by2 array whose top left element is the result of applying AND to the top left elements of the inputs, and so on.
For a single vector input, the block applies the operation (except the NOT operator) to all elements of the vector. The output is always a scalar.
The NOT operator accepts only one input, which can be a scalar or a vector. If the input is a vector, the output is a vector of the same size containing the logical complements of the input vector elements.
When configured as a multiinput XOR gate, this block performs an addition modulo two operation as mandated by the IEEE Standard for Logic Elements.
Ports
Input
Output
Parameters
Model Examples
Block Characteristics
Data Types 

Direct Feedthrough 

Multidimensional Signals 

VariableSize Signals 

ZeroCrossing Detection 

Extended Capabilities
See Also
Relational Operator  Combinatorial Logic  Implement logic signals as Boolean data (vs. double)