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Digital Circuits : Nuclear Quiz 1
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Question 1
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is:
Question 2
Which of the following statements are true regarding a full subtractor circuit?
1) A full subtractor can be implemented using 2 half subtractors and one OR gate.
2) The minimum number of 2-input NOR gates required to implement the full subtractor is 8.
3) The minterm expression for Borrow in full subtractor is:
Question 3
In a particular number system the cubic equation:
x3 + bx2 + cx - 190 = 0 has the roots x = 5, x = 8, and x = 9. The base of the number system is _____________.
x3 + bx2 + cx - 190 = 0 has the roots x = 5, x = 8, and x = 9. The base of the number system is _____________.
Question 4
Given that:![](https://gradeup-question-images.grdp.co/equations/1575277552350.png)
The radix 8’s complement of Y is
![](https://gradeup-question-images.grdp.co/equations/1575277552350.png)
The radix 8’s complement of Y is
Question 5
A switching function of four variable, f (w, x y, z) is to equal the product of two other function
and
, of the same variable
. The function f and f1 are as follows
The number of full specified function, that will satisfy the given condition, is
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934769417322.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934770152360.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934770888540.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934771618884.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934772354212.png)
The number of full specified function, that will satisfy the given condition, is
Question 6
If output of a 2 level AND OR gate is f, then what is the output if all gates are replaced by NOR.
![](https://gradeup-question-images.grdp.co/liveData/PROJ20442/153562988152620.jpg)
Question 7
The function f (X Y Z) = Σm (3, 5, 7) can be expressed as
Question 8
Which one of the following gives the simplified sum of products expression for the Boolean function F = m0 + m2 + m3 + m5 where m0, m2, m3 and m5 are minterms corresponding to the inputs A, B and C with A as the MSB and C as the LSB?
Question 9
The Boolean expression AC +
is equivalent to
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image189.png](https://gs-question-images.grdp.co/1458200738593516.png)
Question 10
The Boolean expression
simplifies to
![](https://gs-question-images.grdp.co/1457607548747295.png)
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Jul 22ESE & GATE EC