1
GATE CSE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0

Which of the following Boolean algebraic equation(s) is/are CORRECT?

A
$\bar{A} B C+A \bar{B} \bar{C}+\bar{A} \bar{B} \bar{C}+A \bar{B} C+A B C=B C+\bar{B} \bar{C}+\bar{A} \bar{B}$
B
$A B+\bar{A} C+B C=A B+\bar{A} C$
C
$(A+C)(\bar{A}+B)=A B+\bar{A} C$
D
$\overline{(A+\bar{B}+\bar{D})(C+D)(\bar{A}+C+D)(A+B+\bar{D})}=\bar{A} D+\bar{C} \bar{D}$
2
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0

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 4 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 1
MCQ (More than One Correct Answer)
+2
-0

Consider a Boolean expression given by $F(X, Y, Z) = \Sigma(3,5,6,7)$.

Which of the following statements is/are CORRECT?

A

$F(X, Y, Z) = \\Pi(0,1,2,4)$

B

$F(X, Y, Z) = XY + YZ + XZ$

C

$F(X, Y, Z)$ is independent of input $Y$

D

$F(X, Y, Z)$ is independent of input $X$

4
GATE CSE 2021 Set 2
Numerical
+2
-0

Consider a Boolean function f(w, x, y, z) such that 

f(w, 0, 0, z) = 1

f(1, x, 1, z) = x + z

f(w, 1, y, z) = wz + y

The number of literals in the minimal sum-of-products expression of f is ______

Your input ____
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