and, &

Find logical AND

Syntax

A & B

and(A,B)

Description

A & B performs a logical AND of arrays A and B and returns an array containing elements set to either logical 1 (true) or logical 0 (false). An element of the output array is set to logical 1 (true) if both A and B contain a nonzero element at that same array location. Otherwise, the array element is set to 0.

and(A,B) is an alternate way to execute A & B, but is rarely used. It enables operator overloading for classes.

Examples

Locate Nonzero Values

Find the logical AND of two matrices. The result contains logical 1 (true) only where both matrices contain nonzero values.

A = [5 7 0; 0 2 9; 5 0 0]

A = 3×3

     5     7     0
     0     2     9
     5     0     0

B = [6 6 0; 1 3 5; -1 0 0]

B = 3×3

     6     6     0
     1     3     5
    -1     0     0

A & B

ans = 3x3 logical array

   1   1   0
   0   1   1
   1   0   0

Truth Table for Logical AND

Create a truth table for and.

A = [true false]

A = 1x2 logical array

   1   0

B = [true; false]

B = 2x1 logical array

   1
   0

C = A&B

C = 2x2 logical array

   1   0
   0   0

Input Arguments

A, B — Operands

scalars | vectors | matrices | multidimensional arrays

Operands, specified as scalars, vectors, matrices, or multidimensional arrays. Inputs A and B must either be the same size or have sizes that are compatible (for example, A is an M-by-N matrix and B is a scalar or 1-by-N row vector). For more information, see Compatible Array Sizes for Basic Operations.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical

Tips

• You can chain together several logical operations, for example, A & B | C.

• The symbols & and && perform different operations in MATLAB^®. The element-wise AND operator described here is &. The short-circuit AND operator is &&.

• When you use the element-wise & and | operators in the context of an if or while loop expression (and only in that context), they use short-circuiting to evaluate expressions. Otherwise, you must specify && or || to opt-in to short-circuiting behavior. See Logical Operators: Short Circuit for more information.

Compatibility Considerations

Implicit expansion change affects arguments for operators

Behavior changed in R2016b

Starting in R2016b with the addition of implicit expansion, some combinations of arguments for basic operations that previously returned errors now produce results. For example, you previously could not add a row and a column vector, but those operands are now valid for addition. In other words, an expression like [1 2] + [1; 2] previously returned a size mismatch error, but now it executes.

If your code uses element-wise operators and relies on the errors that MATLAB previously returned for mismatched sizes, particularly within a try/catch block, then your code might no longer catch those errors.

For more information on the required input sizes for basic array operations, see Compatible Array Sizes for Basic Operations.

Extended Capabilities

Tall Arrays

Calculate with arrays that have more rows than fit in memory.

This function fully supports tall arrays. For more information, see Tall Arrays.

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Distributed Arrays

Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).