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The Number of Distinct Boolean Expression of 4 Variables is
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The number of distinct Boolean expressions of 4 variables is
- 16
- 256
- 1024
- 65536
Table of content
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.