Explanation:
1. Understanding False and True
In Python, bool is a subclass of int.
- False behaves numerically like 0.
- True behaves numerically like 1.
For example:
print(int(False)) # 0print(int(True)) # 1
Therefore, in arithmetic expressions, Python can use True and False as numeric values.
2. Understanding the Bitwise NOT Operator (~)
Consider this expression:
~False
Since False behaves like integer 0, this becomes:
~0
The bitwise NOT operator flips the bits of an integer. In Python, the result follows this identity:
\[
\sim x = -x - 1
\]
Therefore:
\[
\sim 0 = -0 - 1 = -1
\]
So:
~False
returns -1.
3. Understanding Multiplication
Now evaluate:
True * 3
Since True behaves like 1:
\[
1 \times 3 = 3
\]
The result is 3.
4. Understanding Operator Precedence
The original expression is:
~False + True * 3
Python evaluates multiplication before addition. The bitwise NOT applies to False before the addition as well.
The expression can be evaluated as:
(-1) + (1 * 3)
First, multiplication:
\[
1 \times 3 = 3
\]
Then addition:
\[
-1 + 3 = 2
\]
5. Understanding the print() Function
print(~False + True * 3)
The print() function displays the final calculated result.
Final output:
2
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