Question 100

Computer Awareness Boolean algebra Easy

The number of Boolean functions possible with n binary variables is equal to

(A) <span class="math-tex">\(2^{2^{n}}\)</span>
(B) 2<sup>n</sup>
(C) <span class="math-tex">\(2^{2{n-1}}\)</span>
(D) <span class="math-tex">\(2^{n-1}\)</span>
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

With \(n\) variables, the truth table has \(2^n\) rows. Each row's output can be 0 or 1 independently.

Number of different Boolean functions = \(2^{2^n}\). (For example, \(n = 2\) gives 16 functions.)

Answer: (A) \(2^{2^n}\)

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