1
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the operations
$$f\left( {x,y,z} \right) = X'YZ + XY' + Y'Z'$$ and$$g\left( {x,y,z} \right) = X'YZ + X'YZ' + XY$$.
Which one of the following is correct?
2
GATE CSE 2015 Set 2
Numerical
+2
-0
The number of min-terms after minimizing the following Boolean expression is _______________ .
$$$\left[ {D' + AB' + A'C + AC'D + A'C'D} \right]'$$$
Your input ____
3
GATE CSE 2015 Set 2
Numerical
+2
-0
A half adder is implemented with $$XOR$$ and $$AND$$ gates. A full adder is implemented with two half adders and one $$OR$$ gate. The propagation delay of an $$XOR$$ gate is twice that of an $$AND/OR$$ gate. The propagation delay of an $$AND/OR$$ gate is $$1.2$$ microseconds. A $$4$$-bit ripple-carry binary adder is implemented by using four full adders. The total propagation time of this $$4$$-bit binary adder in microseconds is____________ .
Your input ____
4
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Given the function $$F = P′ + QR,$$ where $$F$$ is a function in three Boolean variables $$P,Q$$ and $$R$$ and $$P'=!P,$$
consider the following statements.
$$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {S1} \right)\,\,\,\,F = \sum {\left( {4,5,6} \right)} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {S2} \right)\,\,\,\,F = \sum {\left( {0,1,2,3,7} \right)} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {S3} \right)\,\,\,\,F = \sum {\Pi \left( {4,5,6} \right)} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {S4} \right)\,\,\,\,F = \sum {\Pi \left( {0,1,2,3,7} \right)} \cr} $$
Which of the following is true?
Questions Asked from Boolean Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
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