# LogicalAnd {#openvino_docs_ops_logical_LogicalAnd_1}

**Versioned name**: *LogicalAnd-1*

**Category**: *Logical binary*

**Short description**: *LogicalAnd* performs element-wise logical AND operation with two given tensors applying multi-directional broadcast rules.

**Detailed description**: Before performing logical operation, input tensors *a* and *b* are broadcasted if their shapes are different and `auto_broadcast` attributes is not `none`. Broadcasting is performed according to `auto_broadcast` value.

After broadcasting *LogicalAnd* does the following with the input tensors *a* and *b*:

\f[
o_{i} = a_{i} \wedge b_{i}
\f]

**Attributes**:

* *auto_broadcast*

  * **Description**: specifies rules used for auto-broadcasting of input tensors.
  * **Range of values**:
    * *none* - no auto-broadcasting is allowed, all input shapes must match,
    * *numpy* - numpy broadcasting rules, description is available in [Broadcast Rules For Elementwise Operations](../broadcast_rules.md),
    * *pdpd* - PaddlePaddle-style implicit broadcasting, description is available in [Broadcast Rules For Elementwise Operations](../broadcast_rules.md).
  * **Type**: string
  * **Default value**: "numpy"
  * **Required**: *no*

**Inputs**

* **1**: A tensor of type *T_BOOL* and arbitrary shape. **Required.**
* **2**: A tensor of type *T_BOOL* and arbitrary shape. **Required.**

**Outputs**

* **1**: The result of element-wise *LogicalAnd* operation. A tensor of type *T_BOOL* and the same shape equal to broadcasted shape of two inputs.

**Types**

* *T_BOOL*: `boolean`.

**Examples**

*Example 1: no broadcast*

```xml
<layer ... type="LogicalAnd">
    <input>
        <port id="0">
            <dim>256</dim>
            <dim>56</dim>
        </port>
        <port id="1">
            <dim>256</dim>
            <dim>56</dim>
        </port>
    </input>
    <output>
        <port id="2">
            <dim>256</dim>
            <dim>56</dim>
        </port>
    </output>
</layer>
```

*Example 2: numpy broadcast*
```xml
<layer ... type="LogicalAnd">
    <input>
        <port id="0">
            <dim>8</dim>
            <dim>1</dim>
            <dim>6</dim>
            <dim>1</dim>
        </port>
        <port id="1">
            <dim>7</dim>
            <dim>1</dim>
            <dim>5</dim>
        </port>
    </input>
    <output>
        <port id="2">
            <dim>8</dim>
            <dim>7</dim>
            <dim>6</dim>
            <dim>5</dim>
        </port>
    </output>
</layer>
```