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8.3. Logical operators¶
There are three logical operators:
All three operators take boolean operands and produce boolean values.
The semantics (meaning) of these operators is similar to their meaning in English:
x and yis
x or yyields
True. Only if both operands are
True, and vice versa.
Look at the following example. See if you can predict the output. Then, Run to see if your predictions were correct:
Although you can use boolean operators with simple boolean literals or variables as in the above example, they are often combined with the comparison operators, as in this example. Again, before you run this, see if you can predict the outcome:
x > 0 and x < 10 is
True only if
x is greater than 0 and
at the same time, x is less than 10. In other words, this expression is
x is between 0 and 10, not including the endpoints.
There is a very common mistake that occurs when programmers try to write boolean expressions. For example, what if
we have a variable
number and we want to check to see if its value is 5 or 6. In words we might say: “number
equal to 5 or 6”. However, if we translate this into Python,
number == 5 or 6, it will not yield correct
or operator must have a complete equality check on both sides. The correct way to write this is
number == 5 or number == 6. Remember that both operands of
or must be booleans in order to yield proper results.
8.3.1. Smart Evaluation¶
Python is “smart” about the way it evaluates expressions using boolean operators. Consider the following example:
answer = input('Continue?') if answer == 'Y' or answer == 'y': print('Continuing!')
There are two operands for the
or operator here:
answer == 'Y' and
'answer == 'y'. Python evaluates from
left to right, and if the first operand for
or evaluates to
True, Python doesn’t bother evaluating the second
operand, because it knows the result must be
True (recall that if either operand for
True). So, if the user enters
Y, Python first evaluates
'Y', determines that it is
True, and doesn’t bother to check to see if
answer == 'y' is
True; it just
concludes that the entire condition is
True and executes the print statement.
In a similar fashion, with the
and operator, if the first operand evaluates to
False, Python doesn’t check the
second operand’s value, because it can conclude that the result must be
This behavior, in which Python in some cases skips the evaluation of the second operand to
or, is called
short-circuit boolean evaluation. You don’t have to do anything to make Python do this; it’s the way Python works.
It saves a little processing time. And, as a special bonus, you can take advantage of Python’s short-circuiting behavior
to shorten your code. Consider the following example:
This code checks to see if the average weight of a given number of pieces of luggage is greater than 50 pounds. However,
there is a potential crash situation here. If the user enters
num_pieces, the program will crash with a
divide by zero error. Try it out to see it happen.
To prevent the crash, you might add an extra if statement to check for zero:
if num_pieces != 0: if total_weight / num_pieces > 50: print('Average weight is greater than 50 pounds -> $100 surcharge.')
Now, the division will not occur if
num_pieces is zero, and a potential runtime crash has been averted. Good job!
We can shorten this example to a single
if statement if we do it carefully. Anytime you have two nested
statements as in the example above, you can combine them into a single
if statement by joining the conditions using
and operator. Consider the version below, and think about why this
if statement is equivalent in its behavior to
the previous version with two nested
But wait a minute: is this code safe? Try running the program and entering the value
total_weight and the value
5 for num_pieces.
Then, try it again using the value
0 for num_pieces. There should be no crash.
Next, try altering the code and reversing the order of the
if total_weight / num_pieces > 50 and num_pieces != 0: print('Average weight is greater than 50 pounds -> $100 surcharge.')
Run the program again, performing the same two tests. This time, you should observe a crash when you enter
num_pieces. Can you analyze why the first version did not crash, but the second one does?
In the second version, when evaluating left-to-right, the division by zero occurs before Python evaluates the comparison
num_pieces != 0. When joining two
if statements into a single
if statement, you must be sure to put the
condition from the first
if statement on the left-hand side of the
and operator, and the other condition on the
right-hand side, in order to get the same effect.
To summarize this discussion on smart evaluation, keep in mind that when you are performing potentially dangerous
operations in an
if statement or
while loop using boolean logic with
or, order matters!
Check your understanding