Exercise · ZW-TRUTH-TABLE-002 · ★☆☆ Basic
With two propositions, a truth table has...
Choose one option.
Show answer
- D. 4 rows
Explanation
With \(n=2\) propositions there are \(2^2=4\) assignments, so the table has 4 rows.
Review the concept: Truth table
Let \(P_1,\ldots,P_n\) be atomic propositions. A truth table records the value of a formula for every assignment of them.
\[\left|\mathrm{Asig}(P_1,\ldots,P_n)\right|=2^n\]
More practice problems: truth table
- ZW-TRUTH-TABLE-001 A truth table shows...
- ZW-TRUTH-TABLE-003 With n propositions, how many possible assignments are there?
- ZW-TRUTH-TABLE-004 What is a truth table used for?
- ZW-TRUTH-TABLE-005 A truth table lets us read the value of a formula for...
- ZW-TRUTH-TABLE-006 A truth table with n variables has...
- ZW-TRUTH-TABLE-007 For two propositions, a complete table has...
- ZW-TRUTH-TABLE-008 A truth table allows comparing...
- ZW-TRUTH-TABLE-009 What is recorded in a truth table for each assignment?