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& - bitwise and
| - bitwise or
^ - bitwise xor
~ - bitwise not
<< - bitwise shift left
>> - bitwise shift right
Bitwise AND [BitAnd] &
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HEX | Bits | Description
--------┼--------------------┼----------------
0x99 | 1 0 0 1 1 0 0 1 | the Value
& | & | Bitwise AND
0x3C | 0 0 1 1 1 1 0 0 | the Mask
= | = |
0x18 | 0 0 0 1 1 0 0 0 |
--------┴--------------------┴----------------
MsgBox, % 0x99 & 0x3C ;output: 0x18 (24)
Bitwise OR [BitOr] |
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HEX | Bits | Description
--------┼--------------------┼----------------
0x99 | 1 0 0 1 1 0 0 1 | the Value
| | | | Bitwise OR
0x3C | 0 0 1 1 1 1 0 0 | the Mask
= | = |
0xDB | 1 0 1 1 1 1 0 1 |
--------┴--------------------┴----------------
MsgBox, % 0x99 | 0x3C ;output: 0xDB (219)
Bitwise EXCLUSIVE OR [BitXor] ^
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HEX | Bits | Description
--------┼--------------------┼----------------
0x99 | 1 0 0 1 1 0 0 1 | the Value
^ | ^ | Bitwise EXCLUSIVE OR
0x3C | 0 0 1 1 1 1 0 0 | the Mask
= | = |
0xA5 | 1 0 1 0 0 1 0 1 |
--------┴--------------------┴----------------
MsgBox, % 0x99 ^ 0x3C ;output: 0xA5 (165)
Bitwise NOT [BitNot] ~
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HEX | Bits
--------┼--------------------
~ 0x99 | 1 0 0 1 1 0 0 1
= |
0x66 | 0 1 1 0 0 1 1 0
--------┴--------------------
MsgBox, % ~ 0x99 ;output: 0x66 (102)
Bitwise SHIFT LEFT [BitShiftLeft] <<
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HEX | Bits
--------┼--------------------
0x03 | 0 0 0 0 0 0 1 1
<< | <<
= 0x06 | 0 0 0 0 0 1 1 0
--------┴--------------------
HEX | Bits
--------┼--------------------
0xC0 | 1 1 0 0 0 0 0 0
<< | <<
= 0x80 | 1 0 0 0 0 0 0 0
--------┴--------------------
Bitwise SHIFT RIGHT [BitShiftRight] >>
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HEX | Bits
--------┼--------------------
0x06 | 0 0 0 0 0 1 1 0
>> | >>
= 0x03 | 0 0 0 0 0 0 1 1
--------┴--------------------
HEX | Bits
--------┼--------------------
0x03 | 0 0 0 0 0 0 1 1
>> | >>
= 0x01 | 0 0 0 0 0 0 0 1
--------┴--------------------
Bitwise ROTATE LEFT
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HEX | Bits
--------┼--------------------
0x03 | 1 1 0 0 0 0 0 0
RoL | RoL
= 0x81 | 1 0 0 0 0 0 0 1
--------┴--------------------
Bitwise ROTATE RIGHT
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HEX | Bits
--------┼--------------------
0xC0 | 0 0 0 0 0 0 1 1
RoR | RoR
= 0x81 | 1 0 0 0 0 0 0 1
--------┴--------------------
Useful Links:
- Wikipedia - Bitwise operation
- C++ Tutorial: Bitwise Operators
- Low Level Bit Hacks You Absolutely Must Know
- bithacks.h - bit hacks header file
- Understanding Bitwise Operators
Todo:
- more explanations
- more examples
- |= &= ^= >>= <<=
- ...
BitRotate
a << b | (a & 0xFFFFFFFF) >> (32-b)
