Final answer:
The truth table for the expression ¬p ⊕ q can be constructed by considering all combinations of truth values for p and q, applying the NOT operation to p, and then the XOR operation between ¬p and q.
Step-by-step explanation:
To create a truth table for the logical expression ¬p ⊕ q (where ¬ is the NOT operation and ⊕ is the XOR operation), we need to consider all possible truth values for the variables p and q. The XOR operation yields true when exactly one of the operands is true, but false when both are the same. The NOT operation inverts the truth value of p.
Here is the truth table for the expression ¬p ⊕ q:
pq¬p¬p ⊕ qTTFFTFFTFTTTFFTF
We can see from the table that the expression ¬p ⊕ q is only true when p is false and q is true or when p is true and q is false.