why -3==~2 in C#

Question

Unable to understand. Why output is "equal"

code:

 if (-3 == ~2)                Console.WriteLine("equal");  else     Console.WriteLine("not equal"); 

output:

equal 

Answer 1

Because two's complement bit-arithmetic makes it so

Cribbed from the wikipedia page and expanded:

Most Significant Bit          6  5  4  3  2  1  0   Value 0            0  0  0  0  0  1  1   3 0            0  0  0  0  0  1  0   2 0            0  0  0  0  0  0  1   1  0            0  0  0  0  0  0  0   0 1            1  1  1  1  1  1  1   -1 1            1  1  1  1  1  1  0   -2 1            1  1  1  1  1  0  1   -3 1            1  1  1  1  1  0  0   -4 

So you get:

0  0  0  0  0  0  1  0  =  2 1  1  1  1  1  1  0  1  = -3 

And as you can see, all the bits are flipped, which is what the bitwise NOT operator (~) does.