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Bitwise operations cheat sheet

AND (&)

100  
101  
---  
100  

OR (|)

100  
101  
---  
101  

XOR (^)

100  
101  
---  
001  

NOT (~)

101 
---  
010  

Shift (>>) and (<<)

0001_0111 >> 3 = 0000_0010
0001_0111 << 3 = 1011_1000

Arithmetic

Multiply x by 2k

x << k
Example: 5 * 8 = 5 << 3

Divide x by 2k

x >> k
Example: 20 / 16 = 20 >> 4

Mod by 2k

x & (2k-1)

Example: 20 % 16 = 20 & 15

Is x power of 2?

(x != 0) && (x & (x - 1)) == 0
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