1
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 $X$

2
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 ____
3
GATE CSE 2021 Set 1
MCQ (More than One Correct Answer)
+2
-0

Consider the following Boolean expression.

$$F = (X + Y + Z)(\overline X + Y)(\overline Y + Z)$$

Which of the following Boolean expressions is/are equivalent to $$\overline F$$ (complement of F)?

A
$$(\overline X + \overline Y + \overline Z )(X + \overline Y )(Y + \overline Z )$$
B
$$X\overline Y + \overline Z$$
C
$$X\overline Y + Y\overline Z + \overline X \overline Y \overline Z $$
D
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
4
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
Consider the Boolean function z(a,b,c). GATE CSE 2020 Digital Logic - Boolean Algebra Question 6 English
Which one of the following minterm lists represents the circuit given above?
A
z = $$\sum {\left( {0,1,3,7} \right)} $$
B
z = $$\sum {\left( {1,4,5,6,7} \right)} $$
C
z = $$\sum {\left( {2,4,5,6,7} \right)} $$
D
z = $$\sum {\left( {2,3,5} \right)} $$
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