The Number of Distinct Boolean Expression of 4 Variables is

By Himanshu Bajpai|Updated : July 26th, 2022

The number of distinct Boolean expressions of 4 variables is

  1. 16
  2. 256
  3. 1024
  4. 65536

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.

☛ Related Questions:

Comments

write a comment

Follow us for latest updates