## Operator Precedence

If you had an expression such as `2 + 3 * 4`, is the addition done first or the multiplication? Our high school maths tells us that the multiplication should be done first - this means that the multiplication operator has higher precedence than the addition operator.

The following table gives the operator precedence table for Python, from the lowest precedence (least binding) to the highest precedence (most binding). This means that in a given expression, Python will first evaluate the operators lower in the table before the operators listed higher in the table.

The following table (same as the one in the Python reference manual) is provided for the sake of completeness. However, I advise you to use parentheses for grouping of operators and operands in order to explicitly specify the precedence and to make the program as readable as possible. For example, `2 + (3 * 4)` is definitely more clearer than `2 + 3 * 4`. As with everything else, the parentheses shold be used sensibly and should not be redundant (as in `2 + (3 + 4)`).

Table 5.2. Operator Precedence

OperatorDescription
lambdaLambda Expression
orBoolean OR
andBoolean AND
not xBoolean NOT
in, not inMembership tests
is, is notIdentity tests
<, <=, >, >=, !=, ==Comparisons
|Bitwise OR
^Bitwise XOR
&Bitwise AND
<<, >>Shifts
*, /, %Multiplication, Division and Remainder
+x, -xPositive, Negative
~xBitwise NOT
**Exponentiation
x.attributeAttribute reference
x[index]Subscription
x[index:index]Slicing
f(arguments ...)Function call
(expressions, ...)Binding or tuple display
[expressions, ...]List display
{key:datum, ...}Dictionary display
`expressions, ...`String conversion

The operators which we have not already come across will be explained in later chapters.

Operators with the same same precedence are listed in the same row in the above table. For example, `+` and `-` have the same precedence.

### Order of Evaluation

By default, the operator precedence table decides which operators are evaluated before others. However, if you want to change the orer in which they are evaluated, you can use parentheses. For example, if you want addition to be evaluated before multiplication in an expression, then you can write something like `(2 + 3) * 4`.

### Associativity

Operators are usually associated from left to right i.e. operators with same precedence are evaluated in a left to right manner. For example, `2 + 3 + 4` is evaluated as `(2 + 3) + 4`. Some operators like assignment operators have right to left associativity i.e. `a = b = c` is treated as `a = (b = c)`.