Exercise · ZW-TRUTH-TABLE-006 · ★★☆ Intermediate
A truth table with n variables has...
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- D. 2ⁿ rows of assignments
Explanation
Each variable has two possible values, so n variables produce \(2^n\) rows of assignments.
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-002 With two propositions, a truth table has...
- 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-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?