Understanding Bitwise Operations
In programming, bitwise operations manipulate multi-bit values one bit at a time. Unlike arithmetic operators, which perform mathematical calculations, bitwise operators focus on individual bits within a value.
Types of Bitwise Operators
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Bitwise AND (&): Outputs 1 only if both input bits are 1, otherwise it's 0.
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Bitwise OR (|): Outputs 1 if one or both input bits are 1, otherwise it's 0.
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Bitwise XOR (^): Outputs 1 only if exactly one input bit is 1, otherwise it's 0.
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Bitwise NOT (~): Outputs 1 only if its input bit is 0, otherwise it's 0.
Shift Operators
In Python, >> and << are commonly used in bitwise operations.
- Left Shift (<<): Shifts the bits to the left by the specified number of positions.
- Right Shift (>>): Shifts the bits to the right by the specified number of positions.
Practical Uses of Bitwise Operators
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Filtering Data: By using & with a mask, it's possible to selectively filter out specific bits from a value.
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Bit Packing: Combining multiple small values into a larger one by using << and |.
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Manipulating Flags: Checking and setting individual flags within a status register.
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Arithmetic Operations: Bitwise operators can be used for certain arithmetic operations, such as exponentiation (using repeated shifts).
Example
Consider the Python code:
x = 1 # 0001
x << 2 # Shift left 2 bits: 0100
# Result: 4
x | 2 # Bitwise OR: 0011
# Result: 3
x & 1 # Bitwise AND: 0001
# Result: 1
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- Left Shift (<< 2): Shifts the bits of x to the left by 2 positions, resulting in a value of 4.
- Bitwise OR (| 2): Combines the bits of x with 2, resulting in a value of 3.
- Bitwise AND (& 1): Checks if the least significant bit of x is 1, which it is, resulting in a value of 1.
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