Question 100

Computer Awareness Boolean algebra Easy

The total number of binary function that can be defined using n boolean variable is _________.

(A) 2<sup>n</sup> - 1
(B) 2<sup>n</sup>
(C) 2<sup>n+1</sup>
(D) None
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

With \(n\) variables there are \(2^n\) input rows, and each row's output can be 0 or 1. So there are \(2^{2^n}\) Boolean functions.

None of the options (A)–(C) gives \(2^{2^n}\).

Answer: (D) None

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