# Python operators

last modified July 6, 2020

In this part of the Python programming tutorial, we cover Python operators.

An *operator* is a special symbol which indicates a certain
process is carried out. Operators in programming languages are taken from mathematics.
Applications work with data. The operators are used to process data.

In Python, we have several types of operators:

- Arithmetic operators
- Boolean operators
- Relational operators
- Bitwise operators

An operator may have one or two operands. An *operand* is
one of the inputs (arguments) of an operator. Those operators that work with only
one operand are called *unary operators*. Those who work with two operands
are called binary operators.

The + and - signs can be addition and subtraction operators as well as unary sign operators. It depends on the situation.

>>> 2 2 >>> +2 2 >>>

The plus sign can be used to indicate that we have a positive number. But it is mostly not used. The minus sign changes the sign of a value.

>>> a = 1 >>> -a -1 >>> -(-a) 1

Multiplication and addition operators are examples of binary operators. They are used with two operands.

>>> 3 * 3 9 >>> 3 + 3 6

## Python assignment operator

The assignment operator `=`

assigns a value to a variable.
In mathematics, the `=`

operator has a different meaning. In
an equation, the `=`

operator is an equality operator. The
left side of the equation is equal to the right one.

>>> x = 1 >>> x 1

Here we assign a number to an `x`

variable.

>>> x = x + 1 >>> x 2

The previous expression does not make sense in mathematics. But it is legal in
programming. The expression means that we add 1 to the `x`

variable.
The right side is equal to 2 and 2 is assigned to `x`

.

>>> a = b = c = 4 >>> print(a, b, c) 4 4 4

It is possible to assign a value to multiple variables.

>>> 3 = y File "<stdin>", line 1 SyntaxError: can't assign to literal

This code example results in syntax error. We cannot assign a value to a literal.

## Python arithmetic operators

The following is a table of arithmetic operators in Python programming language.

Symbol | Name |
---|---|

`+` | Addition |

`-` | Subtraction |

`*` | Multiplication |

`/` | Division |

`//` | Integer division |

`%` | Modulo |

`**` | Power |

The following example shows arithmetic operations.

#!/usr/bin/env python # arithmetic.py a = 10 b = 11 c = 12 add = a + b + c sub = c - a mult = a * b div = c / 3 power = a ** 2 print(add, sub, mult, div) print(power)

All these are known operators from mathematics.

$ ./arithmetic.py 33 2 110 4.0 100

There are three operators dealing with division.

#!/usr/bin/env python # division.py print(9 / 3) print(9 / 4) print(9 // 4) print(9 % 4)

The example demonstrates division operators.

print(9 / 4)

This results in 2.25. In Python 2.x, the / operator was an integer division operator. This has changed in Python 3. In Python 3, the / operator returns a decimal number.

print(9 // 4)

The // operator is an integer operator in Python 3.

print(9 % 4)

The `%`

operator is called the modulo operator. It finds the remainder of
division of one number by another. `9 % 4`

, 9 modulo 4 is 1, because
4 goes into 9 twice with a remainder of 1.

$ ./division.py 3.0 2.25 2 1

>>> 'return' + 'of' + 'the' + 'king' 'returnoftheking'

The addition operator can be used to concatenate strings as well.

>>> 3 + ' apples' Traceback (most recent call last): File "<stdin>", line 1, in <module> TypeError: unsupported operand type(s) for +: 'int' and 'str'

We cannot add integers and strings. This results in a `TypeError`

.

>>> str(3) + ' apples' '3 apples'

For the example to work, we must convert the number to a string using the
`str()`

function.

On the other hand, the multiplication operator can be used with a string and a number.

>>> 'dollar ' * 5 'dollar dollar dollar dollar dollar '

## Python Boolean operators

In Python, we have `and`

, `or`

and `not`

boolean
operators. With boolean operators we perform logical operations. These are most often
used with `if`

and `while`

keywords.

#!/usr/bin/env python # andop.py print(True and True) print(True and False) print(False and True) print(False and False)

This example shows the logical and operator. The logical and operator evaluates
to `True`

only if both operands are `True`

.

$ ./andop.py True False False False

The logical or operator evaluates to `True`

if either of the operands is `True`

.

#!/usr/bin/env python # orop.py print(True or True) print(True or False) print(False or True) print(False or False)

If one of the sides of the operator is `True`

, the outcome of the operation is `True`

.

$ ./orop.py True True True False

The *negation* operator `not`

makes `True`

`False`

and `False`

`True`

.

#!/usr/bin/env python # negation.py print(not False) print(not True) print(not ( 4 < 3 ))

The example shows the not operator in action.

$ ./negation.py True False True

And, or operators are short circuit evaluated. *Short circuit evaluation* means
that the second argument is only evaluated if the first argument does not suffice to
determine the value of the expression: when the first argument of and evaluates to false,
the overall value must be false; and when the first argument of or evaluates to true,
the overall value must be true.

The following example demonstrates the short curcuit evaluation.

#!/usr/bin/env python # short_circuit.py x = 10 y = 0 if (y != 0 and x/y < 100): print("a small value")

The first part of the expression evaluates to `False`

. The second part of the
expression is not evaluated. Otherwise, we would get a `ZeroDivisionError`

.

## Python relational operators

Relational operators are used to compare values. These operators always result in a boolean value.

Symbol | Meaning |
---|---|

`<` | strictly less than |

`<=` | less than or equal to |

`>` | greater than |

`>=` | greater than or equal to |

`==` | equal to |

`!=` | not equal to |

`is` | object identity |

`is not` | negated object identity |

The above table shows Python relational operators.

>>> 3 < 4 True >>> 4 == 3 False >>> 4 >= 3 True

As we already mentioned, the relational operators
return boolean values: `True`

or `False`

.

Notice that the relational operators are not limited to numbers. We can use them for other objects as well. Although they might not always be meaningful.

>>> "six" == "six" True >>> 'a' < 'b' True

We can compare string objects, too.

>>> 'a' < 'b'

What exactly happens here? Computers do not know characters or strings. For them, everything is just a number. Characters are special numbers stored in specific tables, like ASCII.

>>> 'a' > 6 Traceback (most recent call last): File "<stdin>", line 1, in <module> TypeError: unorderable types: str() > int()

It is not possible to use relational operators on different data types.
This code leads to a `TypeError`

.

#!/usr/bin/env python # compare.py print('a' < 'b') print("a is:", ord('a')) print("b is:", ord('b'))

Internally, the a and b characters are numbers. So when we compare two characters,
we compare their stored numbers. The built-in `ord()`

function
returns the ASCII value of a single character.

$ ./compare.py True a is: 97 b is: 98

In fact, we compare two numbers: 97 and 98.

>>> "ab" > "aa" True

Say we have a string with more characters. If the first characters are equal, we compare the next ones. In our case, the b character at the second position has a greater value than the a character. That is why "ab" string is greater than "aa" string. Comparing strings in such a way does not make much sense, of course. But it is technically possible.

## Python object identity operators

The object identity operators, `is`

and `not is`

, check
if its operatos are the same object.

#!/usr/bin/env python # object_identity.py print(None == None) print(None is None) print(True is True) print([] == []) print([] is []) print("Python" is "Python")

The `==`

operator tests for equality while the `is`

operator tests
for object identity. Whether we are talking about the same object. Note that more variables
may refer to the same object.

$ ./object_identity.py True True True True False True

The output might be surprising for you. In Python language, there is only one
`None`

and one `True`

object. That's why `True`

is equal and also identical to `True`

. There is only one truth out there, anyway.
The empty list [] is equal to another empty list []. But they are not identical. Python has
put them into two different memory locations. They are two distinct objects. Hence the
`is`

operator returns `False`

.

On the other hand, "Python" is "Python" returns `True`

.
This is because of optimization: if two string literals are equal, they have been put to same
memory location. Since a string is an immutable entity, no harm can be done.

## Python membership operators

The membership operators, `in`

and `not in`

, test for membership in a
sequence, such as strings, lists, or tuples.

#!/usr/bin/env python # membership.py items = ("coin", "book", "pencil", "spoon", "paper") if "coin" in items: print("There is a coin in the tuple") else: print("There is no coin in the tuple") if "bowl" not in items: print("There is no bowl in the tuple") else: print("There is a bowl in the tuple")

With the membership operators, we test if a item is present in a tuple.

if "coin" in items:

With the `in`

operator, we check if `"coin"`

is present in the `items`

tuple.

if "bowl" not in items:

With the `not in`

operator, we check if `"bowl"`

is not present in the `items`

tuple.

$ ./membership.py There is a coin in the tuple There is no bowl in the tuple

This is the output of the example.

## Python ternary operator

A ternary operator is a simple terse conditional assignment statement.

exp1 if condition else exp2

If condition is true, exp1 is evaluated and the result is returned. If the condition is false, exp2 is evaluated and its result is returned.

#!/usr/bin/env python # ternary.py age = 31 adult = True if age >= 18 else False print("Adult: {0}".format(adult))

In many countries the adulthood is based on your age. You are adult if you are older than a certain age. This is a situation for a ternary operator.

adult = True if age >= 18 else False

First the condition is evaluated. If the age is greater
or equal to 18, `True`

is returned.
If not, the value following the `else`

keyword is returned.
The returned value is then assigned to the `adult`

variable.

$ ./ternary.py Adult: True

A 31 years old person is adult.

## Python bitwise operators

Decimal numbers are natural to humans. Binary numbers are native to computers. Binary, octal, decimal or hexadecimal symbols are only notations of the same number. Bitwise operators work with bits of a binary number. We have binary logical operators and shift operators. Bitwise operators are seldom used in higher level languages like Python.

Symbol | Meaning |
---|---|

`~` | bitwise negation |

`^` | bitwise exclusive or |

`&` | bitwise and |

`|` | bitwise or |

`<<` | left shift |

`>>` | right shift |

The *bitwise negation operator* changes each 1 to 0 and 0 to 1.

>>> ~7 -8 >>> ~-8 7

The operator reverts all bits of a number 7. One of the bits also determines, whether the number is negative or not. If we negate all the bits one more time, we get number 7 again.

The *bitwise and operator* performs bit-by-bit comparison
between two numbers. The result for a bit position is 1 only if both
corresponding bits in the operands are 1.

00110 & 00011 = 00010

The first number is a binary notation of 6, the second is 3 and the final result is 2.

>>> 6 & 3 2 >>> 3 & 6 2

The *bitwise or operator* performs bit-by-bit comparison
between two numbers. The result for a bit position is 1 if either of the
corresponding bits in the operands is 1.

00110 | 00011 = 00111

The result is `00110`

or decimal 7.

>>> 6 | 3 7

The *bitwise exclusive or operator* performs bit-by-bit comparison
between two numbers. The result for a bit position is 1 if one or the other
(but not both) of the corresponding bits in the operands is 1.

00110 ^ 00011 = 00101

The result is `00101`

or decimal 5.

>>> 6 ^ 3 5

As we mentioned, bitwise operators are seldom used in Python and other high
level languages. Yet there are some situations, where they are used. One example
is a *mask*. A mask is a specific bit pattern. It determines whether some
property is set or not.

Let's have an example from GUI programming.

#!/usr/bin/env python # bitwise_or.py import wx app = wx.App() window = wx.Frame(None, style=wx.MAXIMIZE_BOX | wx.RESIZE_BORDER | wx.SYSTEM_MENU | wx.CAPTION | wx.CLOSE_BOX) window.Show(True) app.MainLoop()

This is a small example of a wxPython code. The `wx.MAXIMIZE_BOX`

,
`wx.RESIZE_BORDER`

, `wx.SYSTEM_MENU`

, `wx.CAPTION`

,
and `wx.CLOSE_BOX`

are constants. The bitwise or operator
adds all these constants to the mask. In our case, all these properties are
set using the bitwise or operator and applied to the `wx.Frame`

widget.

Finally, we also have bitwise shift operators. The *bitwise shift operators*
shift bits to the right or left.

number << n : multiply number 2 to the nth power number >> n : divide number by 2 to the nth power

These operators are also called arithmetic shift.

00110 >> 00001 = 00011

We shift each of the bits of number six to the right. It is equal to
dividing the six by 2. The result is `00011`

or decimal 3.

>>> 6 >> 1 3

00110 << 00001 = 01100

We shift each of the bits of number six to the left. It is equal to
multiplying the number six by 2. The result is `01100`

or decimal 12.

>>> 6 << 1 12

## Python compound assignment operators

The compound assignment operators consist of two operators. They are shorthand operators.

>>> i = 1 >>> i = i + 1 >>> i 2 >>> i += 1 >>> i 3

The `+=`

compound operator is one of these shorthand operators.

Other compound operators are:

-= *= /= //= %= **= &= |= ^= >>= <<=

## Python operator precedence

The *operator precedence* tells us which operators are evaluated first.
The precedence level is necessary to avoid ambiguity in expressions.

What is the outcome of the following expression, 28 or 40?

3 + 5 * 5

Like in mathematics, the multiplication operator has a higher precedence than addition operator. So the outcome is 28.

(3 + 5) * 5

To change the order of evaluation, we can use square brackets. Expressions inside square brackets are always evaluated first.

The following list shows operator precedence in Python.

unary + - ~ ** * / % + - >> << & ^ | < <= == >= > != is not and or

The operators on the same row have the same level of precedence. The precedence grows from bottom to top.

#!/usr/bin/env python # precedence.py print(3 + 5 * 5) print((3 + 5) * 5) print(2 ** 3 * 5) print(not True or True) print(not (True or True))

In this code example, we show some common expressions. The outcome of each expression is dependent on the precedence level.

print(2 ** 3 * 5)

The power operator has higher precedence than the multiplication operator.
First, the `2 ** 3`

is evaluated, which returns 8. Then the outcome
is multiplied by 5 and the result is 40.

print(not True or True)

In this case, the `not`

operator has a higher precedence. First, the first
`True`

value is negated to `False`

, then the `or`

operator
combines `False`

and `True`

, which gives `True`

in the end.

$ ./precedence.py 28 40 40 True False

The relational operators have a higher precedence than logical operators.

#!/usr/bin/env python # positive.py a = 1 b = 2 if (a > 0 and b > 0): print("a and b are positive integers")

The `and`

operator awaits two boolean values. If one of the operands would
not be a boolean value, we would get a syntax error. In Python, the relational
operators are evaluated before the logical and.

$ ./positive.py a and b are positive integers

## Python associativity rule

Sometimes the precedence is not satisfactory to determine the outcome of
an expression. There is another rule called *associativity*. The associativity
of operators determines the order of evaluation of operators with the *same*
precedence level.

9 / 3 * 3

What is the outcome of this expression, 9 or 1? The multiplication, deletion,
and the modulo operator are left to right associated. So the expression is
evaluated this way: `(9 / 3) * 3`

and the result is 9.

Arithmetic, boolean, relational and bitwise operators are all left to right associated.

On the other hand, the assignment operator is right associated.

>>> a = b = c = d = 0 >>> a, b, c, d (0, 0, 0, 0)

If the association was left to right, the previous expression would not be possible.

The compound assignment operators are right to left associated.

>>> j = 0 >>> j *= 3 + 1 >>> j 0

You might expect the result to be 1. But the actual result is 0. Because of the associativity. The expression on the right is evaluated first and then the compound assignment operator is applied.

In this chapter, we have talked about operators in Python.