If we can generate a maximum of 4 Boolean functions using n Boolean variables, what will be minimum value of n?

NIMCET PREVIOUS YEAR QUESTION 

Formula: Number of Boolean functions of $n$ variables is:

$ 2^{2^n} $

Condition: We are told the total functions must be ≤ 4:

\[ 2^{2^n} \leq 4 \]

✅ Try values of $n$:

• $n = 0$: $2^{2^0} = 2^1 = 2$ ✅
• $n = 1$: $2^{2^1} = 2^2 = 4$ ✅
• $n = 2$: $2^{2^2} = 2^4 = 16$ ❌

Minimum $n$ for which number of Boolean functions ≤ 4 is:

\[ \boxed{1} \]

✅ Final Answer: $\boxed{1}$