We know that the boolean value of 0 is False, and the boolean value of 1 is True. What about the boolean value of a negative number, for example, -2 ? What‘s the result of the expression True and 3
in Python? Is it True or False, or other value? Let’s find it out.
1. Boolean Value
Here is a question I came across while I was doing a lab of Berkeley CS61A Course . What would Python print?
>>> positive = 28
>>> while positive:
... print("positive?")
... positive -= 3
I thought that after printing “positive?” 10 times , the variable “positive” would become negative, so the program would stop. But my answer didn’t pass the test, so I ran it locally to see what happened. To my surprise, the program didn’t stop! It’s an infinite loop. Why?
Because the boolean value of a negative number is True. Only the boolean value of 0 is False, while the boolean value of a positive or negative number is True, so bool(-2)=True
.
In Python, the boolean value of False (or 0, or ‘’, or None) is False. The boolean value of others is True.
Then how to evaluate the bool expression?
2. Bool Expression
A bool expression usually contains logic operators such as and
, or
, not
.
(1) <exp1> and <exp2>
The result of False and True
is False, so for the expression <exp1> and <exp2>
, only when the value of the first element <exp1>
is True do we need to check the second element <exp2>
. For example, the value of True and 0
is 0.
That is, and
stops evaluating at the first false value. For example:
>>> 0 and 2
0
>>> False and -2
False
If all values evaluate to be True, the last value is returned. So the value of expression True and 3
is 3, while the expression 3 and True
returns True. The following is another example of and
between two numbers:
>>> 2 and -3
-3
>>> -3 and 2
2
From the results above, you‘ll see that the return value of a bool expression like <exp1> and <exp2>
is not always True or False . Take True and 3
as an example, it evaluates the boolean value of <exp1>
/<exp2>
( bool(3)=True
), but returns the actual value ( 3 ), so it‘s a number.
(2) <exp1> or <exp2>
or
expression uses an evaluating order like and
expression. The result of True or False
is True, so for the expression <exp1> or <exp2>
, only when the value of the first element <exp1>
is False do we need to check the second element <exp2>
.
That is, or
stops evaluating at the first true value. For example:
>>> 0 or -1
-1
>>> 2 or -1
2
>>>True or 2
True
>>>0 or False or -3 or 1 / 0
-3
Here the last element 1/0
in the last expression won’t be evaluated, otherwise it’ll produce an error.
If all values evaluate to be False, the last value is returned. For example:
>>> False or 0
0
>>> 0 or False
False
(3) not <exp>
Unlike and
and or
expression, not
expression returns the opposite boolean value of <exp>
, so the result is either True or False. For example:
>>> not 10
False
Reference:
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