Consider 4-variable functions $f1, f2, f3, f4$ expressed in sum-of-minterms form as given below.
$f1 = \sum(0,2,3,5,7,8,11,13)$
$f2 = \sum(1,3,5,7,11,13,15)$
$f3 = \sum(0,1,4,11)$
$f4 = \sum(0,2,6,13)$
![GATE CSE 2024 Set 2 Digital Logic - Boolean Algebra Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwugc6kh/aa2a37ba-6ad7-4220-8f83-8e2f6f32f4bc/f26a9220-1f2b-11ef-b236-4f75b99a7f02/file-6y3zli1lwugc6ki.png?format=png)
With respect to the circuit given above, which of the following options is/are CORRECT?
Let p and q be the following propositions:
p: Fail grade can be given.
q: Student scores more than 50% marks.
Consider the statement: “Fail grade cannot be given when student scores more than 50% marks.”
Which one of the following is the CORRECT representation of the above statement in propositional logic?
Let $f(x)$ be a continuous function from $\mathbb{R}$ to $\mathbb{R}$ such that
$f(x) = 1 - f(2 - x)$
Which one of the following options is the CORRECT value of $\int_0^2 f(x) dx$?
Let $A$ be the adjacency matrix of a simple undirected graph $G$. Suppose $A$ is its own inverse. Which one of the following statements is always TRUE?