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What are bitwise operators and their primary function?
What are bitwise operators and their primary function?
Bitwise operators are used to perform operations on binary numbers at the bit level, allowing manipulation of individual bits in integers.
Demonstrate how the bitwise AND operator works with an example.
Demonstrate how the bitwise AND operator works with an example.
The bitwise AND operator (&
) compares each bit of two operands; for example, 5 & 3
equals 1
because binary 101 & 011
results in 001
.
How does the bitwise OR operator differ from the AND operator?
How does the bitwise OR operator differ from the AND operator?
The bitwise OR operator (|
) combines bits from two integers, resulting in 5 | 3
equals 7
, as binary 101 | 011
yields 111
.
Explain the purpose of the bitwise NOT operator with an example.
Explain the purpose of the bitwise NOT operator with an example.
What is the function of the XOR bitwise operator, and give an example?
What is the function of the XOR bitwise operator, and give an example?
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Study Notes
Bitwise Operators Overview
- Bitwise operators perform operations on binary representations of integers by comparing each corresponding bit.
- They operate at the bit level and are commonly used for low-level programming and performance optimization.
Bitwise AND Operator
- The bitwise AND operator (
&
) compares each bit of two integers and results in 1 only if both bits are 1. - Example:
5 & 3
- Binary of 5:
0101
- Binary of 3:
0011
- Resulting binary:
0001
which is 1 in decimal.
Bitwise OR Operator
- The bitwise OR operator (
|
) compares bits of two integers and returns 1 if at least one of the bits is 1. - Unlike AND, it combines bits where either corresponding bit is 1.
- Example:
5 | 3
- Resulting binary:
0111
which equals 7 in decimal.
Bitwise NOT Operator
- The bitwise NOT operator (
~
) inverts each bit of an integer, changing 1s to 0s and 0s to 1s. - Example:
~5
- Binary of 5:
0101
- Resulting binary:
1010
which represents -6 in two's complement form.
XOR Bitwise Operator
- The XOR (exclusive OR) operator (
^
) outputs 1 if the corresponding bits of two integers are different. - Example:
5 ^ 3
- Binary of 5:
0101
- Binary of 3:
0011
- Resulting binary:
0110
which is 6 in decimal.
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