Answer:
see attached
Step-by-step explanation:
You want the truth table for a logical implication that involves other logical expressions with up to three variables.
Truth table
A truth table is conveniently produced using the logical operations available on a spreadsheet. The AND (∧), OR (∨), and NOT (¬) functions are built-in to the spreadsheet. The implication (→) function must use the equivalent:
p → q ≡ ¬p∨q
If p, q, and r are in columns A, B, C, respectively, then the formulas in columns D through G are ...
- D: =OR(B2, NOT(C2))
- E: =AND(A2, D2)
- F: =AND(NOT(A2), B2)
- G: =OR(NOT(E2), F2)
The formulas are filled to the following rows.
The values of p, q, and r are entered manually. The spreadsheet computes the truth values for the formulas.
