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Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point)

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&2&3&2&4&2&3&2&3&3&1&2.5&4
\\\hline\textbf{2 Marks Count} & 2&2&2&1&2&2&0&4&2&0&0&1.7&4
\\\hline\textbf{Total Marks} & 5&6&7&4&8&6&3&10&7&3&\bf{3}&\bf{5.9}&\bf{10}\\\hline
\end{array}}}$$

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Most viewed questions in Digital Logic

15 votes
6 answers
1
Simplified Boolean expression for A'BC+AB'C'+A'B'C'+AB'C+ABC
Simplified Boolean expression for A'BC+AB'C'+A'B'C'+AB'C+ABC A . AB B . B'C C . AB+(A'+AB')C D . AB'+BC+B'C'
Simplified Boolean expression for A'BC+AB'C'+A'B'C'+AB'C+ABCA . ABB . B'CC . AB+(A'+AB')CD . AB'+BC+B'C'
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68 votes
4 answers
2
Minimum NAND/NOR Gates - Realization for ExOR,ExNor,Adder,Subtractor
Minimum No of Gates NAND/NOR Ex-OR Ex-Nor Half Adder Half Subtractor Full Adder Full Subtractor NAND ? ? ? ? ? ? NOR ? ? ? ? ? ?
Minimum No of Gates NAND/NOR Ex-OREx-NorHalf AdderHalf SubtractorFull AdderFull SubtractorNAND??????NOR??????
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113 votes
20 answers
4
GATE CSE 2016 Set 1 | Question: 8
We want to design a synchronous counter that counts the sequence $0-1-0-2-0-3$ and then repeats. The minimum number of $\text{J-K}$ flip-flops required to implement this counter is _____________.
We want to design a synchronous counter that counts the sequence $0-1-0-2-0-3$ and then repeats. The minimum number of $\text{J-K}$ flip-flops required to implement this ...
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79 votes
8 answers
5
GATE CSE 2015 Set 2 | Question: 7
The minimum number of $\text{JK}$ flip-flops required to construct a synchronous counter with the count sequence $(0, 0, 1, 1, 2, 2, 3, 3, 0, 0, \ldots)$ is _______.
The minimum number of $\text{JK}$ flip-flops required to construct a synchronous counter with the count sequence $(0, 0, 1, 1, 2, 2, 3, 3, 0, 0, \ldots)$ is _______.
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5 votes
2 answers
6
Morris Mano Edition 3 Exercise 2 Question 12 (Page No. 70)
Express the following function in the sum of minterms and The product of the maxterms. (a) F(A,B,C,D) = B’D + A’D + BD (b)F(x,y,z)=(xy + z)(xz + y)
Express the following function in the sum of minterms and The product of the maxterms.(a) F(A,B,C,D) = B’D + A’D + BD(b)F(x,y,z)=(xy + z)(xz + y)
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14 votes
3 answers
7
minimum number of NAND and NOR gates
Is there any systematic approach to find the minimum number of two input NAND gates and two input NOR gates to be used to impelement a binary expression? If there then please elaborate it for the function Y = A'B+B'C+CD' .
Is there any systematic approach to find the minimum number of two input NAND gates and two input NOR gates to be used to impelement a binary expression?If there then ple...
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85 votes
9 answers
10
GATE CSE 2016 Set 1 | Question: 33
Consider a carry look ahead adder for adding two $n$-bit integers, built using gates of fan-in at most two. The time to perform addition using this adder is $\Theta (1)$ $\Theta (\log(n))$ $\Theta (\sqrt{n})$ $\Theta (n)$)
Consider a carry look ahead adder for adding two $n$-bit integers, built using gates of fan-in at most two. The time to perform addition using this adder is$\Theta (1)$$\...
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53 votes
10 answers
11
GATE CSE 2010 | Question: 32
In the sequential circuit shown below, if the initial value of the output $Q_1Q_0$ is $00$. What are the next four values of $Q_1Q_0$? $11$, $10$, $01$, $00$ $10$, $11$, $01$, $00$ $10$, $00$, $01$, $11$ $11$, $10$, $00$, $01$
In the sequential circuit shown below, if the initial value of the output $Q_1Q_0$ is $00$. What are the next four values of $Q_1Q_0$? $11$, $10$, $01$, $00$$10$, $11$, $...
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3 votes
3 answers
13
UGC NET CSE | December 2013 | Part 2 | Question: 32
Given that $(292)_{10} = (1204)_x$ in some number system $x$. The base $x$ of that number system is 2 8 10 None of the above
Given that $(292)_{10} = (1204)_x$ in some number system $x$. The base $x$ of that number system is2810None of the above
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9 votes
2 answers
14
Design a counter for the following binary sequence: 0,4,5,3,1,6,2,7 and repeat.Use JK flip-flops | IIIT-Hyderbad
Design a counter for the following binary sequence: 0,4,5,3,1,6,2,7 and repeat.Use JK flip-flops
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32 votes
4 answers
15
GATE CSE 2013 | Question: 46
A RAM chip has a capacity of 1024 words of 8 bits each (1K × 8). The number of 2 × 4 decoders with enable line needed to construct a 16K × 16 RAM from 1K × 8 RAM is (A) 4 (B) 5 (C) 6 (D) 7
A RAM chip has a capacity of 1024 words of 8 bits each (1K × 8). The number of 2 × 4 decoders with enable line needed to construct a 16K × 16 RAM from 1K × 8 RAM is(A...
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41 votes
6 answers
20
GATE CSE 1999 | Question: 2.16
The number of full and half-adders required to add $16$-bit numbers is $8$ half-adders, $8$ full-adders $1$ half-adder, $15$ full-adders $16$ half-adders, $0$ full-adders $4$ half-adders, $12$ full-adders
The number of full and half-adders required to add $16$-bit numbers is$8$ half-adders, $8$ full-adders$1$ half-adder, $15$ full-adders$16$ half-adders, $0$ full-adders$4$...
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