1
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0.66

Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?

A

64 in radix-10

B

100 in radix-8

C

50 in radix-16

D

121 in radix-7

2
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0.66

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

With respect to the circuit given above, which of the following options is/are CORRECT?

A

$Y = \sum(0,1,2,11,13)$

B

$Y = \prod(3,4,5,6,7,8,9,10,12,14,15)$

C

$Y = \sum(0,1,2,3,4,5,6,7)$

D

$Y = \prod(8,9,10,11,12,13,14,15)$

3
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

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?

A

q → ¬ p

B

q → p

C

p → q

D

¬ p → q

4
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

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 $\int_0^2 f(x) dx$?

A

0

B

1

C

2

D

-1

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