1
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 ____
2
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
$$(X + \overline Z ) . (\overline Y + \overline Z )$$
3
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 9 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 = $$\sum {\left( {2,3,5} \right)} $$
4
GATE CSE 2019
MCQ (Single Correct Answer)
+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 : GATE CSE 2019 Digital Logic - Boolean Algebra Question 10 English
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
Software Engineering
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