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

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 1
MCQ (More than One Correct Answer)
+2
-0.67

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
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
3
GATE CSE 2020
+2
-0.67
Consider the Boolean function z(a,b,c).
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 = $$\sum {\left( {2,3,5} \right)}$$
4
GATE CSE 2019
+2
-0.67
Consider three 4-variable functions f1, f2 and f3, which are expressed in sum-of-minterms as

f1 = Σ(0, 2, 5, 8, 14),

f2 = Σ(2, 3, 6, 8, 14, 15),

f3 = Σ(2, 7, 11, 14)

For the following circuit with one AND gate and one XOR gate, the output function f can be expressed as:
A
Σ (2, 14)
B
Σ (7, 8, 11)
C
Σ (2, 7, 8, 11, 14)
D
Σ (0, 2, 3, 5, 6, 7, 8, 11, 14, 15)
GATE CSE Subjects
EXAM MAP
Medical
NEET