1
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+1
-0.33

For a Boolean variable x, which of the following statements is/are FALSE?

A

x . 1 = x

B

x + 1 = x

C

x . x = 0

D

x + x̄ = 1

2
GATE CSE 2019
+1
-0.33
Which one of the following is NOT a valid identity?
A
(x ⊕ y) ⊕ z = x ⊕ (y ⊕ z)
B
(x + y) ⊕ z = x ⊕ (y + z)
C
x ⊕ y = x + y, if xy = 0
D
x ⊕ y = (xy + x'y')'
3
GATE CSE 2016 Set 2
+1
-0.3
Let, $${x_1} \oplus {x_2} \oplus {x_3} \oplus {x_4} = 0$$ where $${x_1},\,{x_2},\,{x_3},\,{x_4}$$ are Boolean Variables, and $$\oplus$$ is the $$XOR$$ operator.

Which one of the following must always be TRUE?

A
$${x_1}{x_2}{x_3}{x_4} = 0$$
B
$${x_1}{x_3} + {x_2} = 0$$
C
$${\overline x _1} \oplus {\overline x _3} = {\overline x _2} \oplus {\overline x _4}$$
D
$${x_1} + {x_2} + {x_3} + {x_4} = 0$$
4
GATE CSE 2016 Set 1
+1
-0.3
Consider the Boolean operator $$\ne$$ with the following properties:
$$x \ne 0 = x,\,\,x \ne 1 = \overline x ,\,\,x \ne x = 0$$ and $$x \ne \overline x = 1.$$ Then $$x \ne y$$ is equivalent to
A
$$x\overline y + \overline x y$$
B
$$x\overline y + \overline x \overline y$$
C
$$\overline x y + xy$$
D
$$xy + \overline x \overline y$$
GATE CSE Subjects
EXAM MAP
Medical
NEET