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Q:
Bitwise Masking for Logical Operators
In a bitwise "and" operation, my understanding is that for an "a & b" it is equivalent to "a & ~b".
However, what is the bitwise meaning of the following?
if (a | b | ~a | ~b)
return false;
Is this simply equivalent to
if (a) return false;
Or should it be equivalent to
if (b) return false;
The second option would make sense to me if "a" and "b" were some non-zero bit values, but here they are zero.
A:
| has higher precedence than &, therefore, b | ~a | ~b is equivalent to a | ~a | ~b.
Your test is equivalent to:
if ((a | b) | ~a | ~b)
return false;
which is equivalent to:
if ((a | ~a) & (b | ~b))
return false;
In particular, it is equivalent to:
if ((a & ~a) & (b & ~b))
return false;
which is equivalent to:
if ((a & a) & (b & b))
return false;
which is equivalent to:
if (a)
return false;
which makes sense.
The only difference is that you have to be careful when you use &&. If the first expression is true, then the whole expression is true (hence the name, logical AND), but if the first expression is false, then the whole expression is false. However, this is only a difference in semantics. The C++ standard does not require the compiler to ac619d1d87
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