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GATE 2024 Digital logic Rank Booster Quiz 37
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Question 1
Consider the MUX given below , and find the value for function F :
![](https://gradeup-question-images.grdp.co/liveData/PROJ20669/1535352140806586.jpg)
Question 2
Consider the given function F(A,B,C,D) = Σm(2,3,5,6,8,9,11,14) then what is the value connected at input I1 in the figure shown below if the select lines are connected to B & D respectively?
![](https://gs-post-images.grdp.co/2022/5/6-img1653562735327-68.jpg-rs-high-webp.jpg)
![](https://gs-post-images.grdp.co/2022/5/6-img1653562735327-68.jpg-rs-high-webp.jpg)
Question 3
What is the Minimum number of 2
1 multiplexers required to realize the following function
Assume that inputs are available only in true form and Boolean constants 1 and 0 are available.
![](https://gradeup-question-images.grdp.co/liveData/PROJ438/1473766457670281.png)
![](https://gs-post-images.grdp.co/2022/5/2-img1653562515879-92.jpg-rs-high-webp.jpg)
Assume that inputs are available only in true form and Boolean constants 1 and 0 are available.
Question 4
A 7 variable function is to be realised using 4:1 MUX only. The total Number of Multiplexer required is__________.
Question 5
Consider the Boolean function
If you implement F by 4×1 mux, then what will be the value of p,q,r,s in the following figure?
Question 6
If a 64x1 Mux is constructed using 4x1 Mux, then how many number of the 4x1 Mux are required at 2nd level (consider level start from 1).
Question 7
Consider a 3 to 8 decoder with its enable as active-high and the inputs to the decoder are A (MSB), B, and C (as LSB).
The output X is:
![](https://gs-post-images.grdp.co/2021/6/2-1-img1624970822113-97.jpg-rs-high-webp.jpg)
The output X is:
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