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GATE 2025 Digital Circuits Quiz 22
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Question 1
Find minterms and maxterms respectively for the given function
f(XYZ)= XY+X'Z
f(XYZ)= XY+X'Z
Question 2
To implement the simplified value of the following Boolean functions minimum of how many AND, NOT and OR gate are required
f(A,B,C,D)=
f(A,B,C,D)=
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934811805620.png)
Question 3
Find the correct minimized expression Y (A, B, C, D) = ∑m (0, 3, 7, 13, 14) + ∑d (1, 2, 12).
Question 4
If f(XYZ)= (X+Y) (Y+Z') (Z+X) then find the complement of a function.
Question 5
Consider the circuit shown in figure below
If propagation delay of NOT gate is 10 nsec, AND gate is 20 nsec and X -OR gate is 10 nsec.
If A is connected to
at
then waveform for output Y is
![](https://gradeup-question-images.grdp.co/liveData/PROJ2955/1488275981013287.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ2955/1488275981654648.png)
If propagation delay of NOT gate is 10 nsec, AND gate is 20 nsec and X -OR gate is 10 nsec.
If A is connected to
![](https://gradeup-question-images.grdp.co/liveData/PROJ2955/1488275982399744.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ2955/1488275983160974.png)
Question 6
Consider the circuit shown in the figure below:
The output 'f' of the logic circuit represents as
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Jan 4ESE & GATE EC