1
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+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
$$xy + \overline x \overline y $$
2
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Let $$ \ne $$ be a binary operator defined as $$X \ne Y = X' + Y'$$ where $$𝑋$$ and $$𝑌$$ are Boolean variables. Consider the following two statements. $$$\eqalign{ & \left( {S1} \right)\,\,\,\,\,\,\,\left( {P \ne Q} \right) \ne R = P \ne \left( {Q \ne R} \right) \cr & \left( {S2} \right)\,\,\,\,\,\,\,Q \ne R = R \ne Q \cr} $$$

Which of the following is/are true for the Boolean variables $$𝑃, 𝑄$$ and $$𝑅$$?

A
Only $$S1$$ is true
B
Only $$S2$$ is true
C
Both $$S1$$ and $$S2$$ are true
D
Neither $$S1$$ nor $$S2$$ are true
3
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The dual of a Boolean function $$F\left( {{x_1},{x_2},\,....,\,{x_n},\, + , \cdot ,'} \right),$$ written as $${F^D}$$, is the same expression as that of $$F$$ with $$+$$ and $$ \cdot $$ swapped. $$F$$ is said to be self-dual if $$F = {F^D} \cdot $$. The number of self-dual functions with $$n$$ Boolean variables is
A
$${2^n}$$
B
$${2^{n - 1}}$$
C
$${2^{{2^n}}}$$
D
$${2^{{2^{n - 1}}}}$$
4
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider the following combinational function block involving four Boolean variables $$x, y, a,$$
$$b$$ where $$x, a, b$$ are inputs and $$y$$ is the output. GATE CSE 2014 Set 3 Digital Logic - Boolean Algebra Question 37 English
Which one of the following digital logic blocks is the most suitable for implementing this function?
A
Full adder
B
Priority encoder
C
Multiplexer
D
Flip-flop
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