Question

The number of minterms in an n-variable truth table is:

• A. \( n^2 \)
• B. \( (n-1)^2 \)
• C. \( 2^n \)
• D. \( 2^{n-1} \)

Hint:

In a truth table, the number of minterms is equal to the number of possible combinations of the input variables, which is \( 2^n \).

Answer 1

The Correct Option is C

A minterm in a truth table corresponds to a unique combination of input variables that results in the output being true (1). For an n-variable truth table, there are \( 2^n \) possible combinations of the input variables, and thus there are \( 2^n \) minterms. Thus, the correct answer is \( \boxed{2^n} \).