p⊕q (exclusive or of p and q)
The exclusive or (⊕) is a logical operation that returns true (or 1) if exactly one of its two operands is true, and false (or 0) otherwise
The exclusive or (⊕) is a logical operation that returns true (or 1) if exactly one of its two operands is true, and false (or 0) otherwise.
Let’s consider two statements, p and q, where p and q can be either true (T) or false (F).
– If p is true and q is false, then p⊕q is true (T⊕F = T).
– If p is false and q is true, then p⊕q is also true (F⊕T = T).
– If both p and q are true, or both p and q are false, then p⊕q is false (T⊕T = F and F⊕F = F).
Therefore, the exclusive or operation returns true only when the truth values of its operands differ (one is true and the other is false). If both operands have the same truth value (either both true or both false), the exclusive or operation returns false.
To summarize, p⊕q evaluates to true if and only if p and q have different truth values, and it evaluates to false if p and q have the same truth value.
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