It looks like you uploaded an image with a truth table for the logical expression involving "∼p ↔ q". Let's break down how to construct the truth table.

Here’s the step-by-step process to build the truth table for the expression "∼p ↔ q":

1. List the possible truth values for p and q: We will start by considering all possible combinations of truth values (T for true, F for false) for the propositions p and q. There are four combinations:

   • p = T, q = T
   • p = T, q = F
   • p = F, q = T
   • p = F, q = F

2. Compute the truth value for ∼p: The negation of p (∼p) flips the truth value of p:

   • If p = T, then ∼p = F.
   • If p = F, then ∼p = T.

3. Compute the truth value for ∼p ↔ q (biconditional): The biconditional "↔" is true when both sides have the same truth value, and false when they differ. So, for each row:

   • ∼p ↔ q is true if ∼p and q are both true, or both false.
   • ∼p ↔ q is false if ∼p and q are different.

Would you like me to calculate each row for the table and explain how each step works? Let me know if you need more details or clarifications.