[matlab] What's the difference between & and && in MATLAB?

What is the difference between the & and && logical operators in MATLAB?

This question is related to matlab logical-operators short-circuiting

The answer is


& is a logical elementwise operator, while && is a logical short-circuiting operator (which can only operate on scalars).

For example (pardon my syntax).

If..

A = [True True False True]
B = False
A & B = [False False False False]

..or..

B = True
A & B = [True True False True]

For &&, the right operand is only calculated if the left operand is true, and the result is a single boolean value.

x = (b ~= 0) && (a/b > 18.5)

Hope that's clear.


&& and || are short circuit operators operating on scalars. & and | operate on arrays, and use short-circuiting only in the context of if or while loop expressions.


A good rule of thumb when constructing arguments for use in conditional statements (IF, WHILE, etc.) is to always use the &&/|| forms, unless there's a very good reason not to. There are two reasons...

  1. As others have mentioned, the short-circuiting behavior of &&/|| is similar to most C-like languages. That similarity / familiarity is generally considered a point in its favor.
  2. Using the && or || forms forces you to write the full code for deciding your intent for vector arguments. When a = [1 0 0 1] and b = [0 1 0 1], is a&b true or false? I can't remember the rules for MATLAB's &, can you? Most people can't. On the other hand, if you use && or ||, you're FORCED to write the code "in full" to resolve the condition.

Doing this, rather than relying on MATLAB's resolution of vectors in & and |, leads to code that's a little bit more verbose, but a LOT safer and easier to maintain.


Both are logical AND operations. The && though, is a "short-circuit" operator. From the MATLAB docs:

They are short-circuit operators in that they evaluate their second operand only when the result is not fully determined by the first operand.

See more here.


&& and || take scalar inputs and short-circuit always. | and & take array inputs and short-circuit only in if/while statements. For assignment, the latter do not short-circuit.

See these doc pages for more information.


As already mentioned by others, & is a logical AND operator and && is a short-circuit AND operator. They differ in how the operands are evaluated as well as whether or not they operate on arrays or scalars:

  • & (AND operator) and | (OR operator) can operate on arrays in an element-wise fashion.
  • && and || are short-circuit versions for which the second operand is evaluated only when the result is not fully determined by the first operand. These can only operate on scalars, not arrays.