The Number of Distinct Boolean Expression of 4 Variables is

Answer – D. 65536.

The answer to the question, the number of distinct Boolean expressions of 4 variables is 65536.

Solution

The detailed solution to the question and the number of distinct Boolean expressions of 4 variables is provided here. 

The number of distinct Boolean expressions can be obtained for the n variable by following the expression –

# Distinct Boolean expression = 22n.

Here, the number of variables n=4

 Thus, Distinct Boolean expression = 224=65536

Therefore, the number of distinct Boolean expressions of 4 variables is 65536.

Hence, Option (D) is the correct answer.

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