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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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Highest voted questions in Digital Logic

39 votes
8 answers
63
GATE IT 2007 | Question: 45
The line $T$ in the following figure is permanently connected to the ground. Which of the following inputs $(X_1 X_2 X_3 X_4)$ will detect the fault ? $0000$ $0111$ $1111$ None of these
The line $T$ in the following figure is permanently connected to the ground.Which of the following inputs $(X_1 X_2 X_3 X_4)$ will detect the fault ?$0000$$0111$$1111$Non...
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39 votes
9 answers
64
GATE CSE 1997 | Question: 5.1
Let $f(x, y, z)=\bar{x} + \bar{y}x + xz$ be a switching function. Which one of the following is valid? $\bar{y} x$ is a prime implicant of $f$ $xz$ is a minterm of $f$ $xz$ is an implicant of $f$ $y$ is a prime implicant of $f$
Let $f(x, y, z)=\bar{x} + \bar{y}x + xz$ be a switching function. Which one of the following is valid?$\bar{y} x$ is a prime implicant of $f$$xz$ is a minterm of $f$$xz$ ...
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38 votes
3 answers
69
GATE IT 2006 | Question: 38
When multiplicand $Y$ is multiplied by multiplier $X = x_{n - 1}x_{n-2} \dots x_0$ ... partial products for rows $5$ and $8$ are $2Y$ and $Y$ $-2Y$ and $2Y$ $-2Y$ and $0$ $0$ and $Y$
When multiplicand $Y$ is multiplied by multiplier $X = x_{n - 1}x_{n-2} \dots x_0$ using bit-pair recoding in Booth's algorithm, partial products are generated according ...
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38 votes
4 answers
72
GATE CSE 2000 | Question: 1.6
The number $43$ in $2's$ complement representation is $01010101$ $11010101$ $00101011$ $10101011$
The number $43$ in $2's$ complement representation is$01010101$$11010101$$00101011$$10101011$
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38 votes
2 answers
73
GATE CSE 2008 | Question: 4
In the IEEE floating point representation the hexadecimal value $0\text{x}00000000$ corresponds to The normalized value $2^{-127}$ The normalized value $2^{-126}$ The normalized value $+0$ The special value $+0$
In the IEEE floating point representation the hexadecimal value $0\text{x}00000000$ corresponds toThe normalized value $2^{-127}$The normalized value $2^{-126}$The normal...
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37 votes
5 answers
74
GATE IT 2005 | Question: 43
Which of the following input sequences will always generate a $1$ at the output $z$ ...
Which of the following input sequences will always generate a $1$ at the output $z$ at the end of the third cycle?$\begin{array}{|l|l|}\hline \textbf{A} & \textbf{B} & \t...
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37 votes
4 answers
75
GATE IT 2005 | Question: 9
A dynamic RAM has a memory cycle time of $64$ $\text{nsec}$. It has to be refreshed $100$ times per msec and each refresh takes $100$ $\text{nsec}$ . What percentage of the memory cycle time is used for refreshing? $10$ $6.4$ $1$ $0.64$
A dynamic RAM has a memory cycle time of $64$ $\text{nsec}$. It has to be refreshed $100$ times per msec and each refresh takes $100$ $\text{nsec}$ . What percentage of t...
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37 votes
5 answers
79
GATE CSE 2000 | Question: 2.12
The following arrangement of master-slave flip flops has the initial state of $P, Q$ as $0, 1$ (respectively). After three clock cycles the output state $P, Q$ is (respectively), $1, 0$ $1, 1$ $0, 0$ $0, 1$
The following arrangement of master-slave flip flopshas the initial state of $P, Q$ as $0, 1$ (respectively). After three clock cycles the output state $P, Q$ is (respect...
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37 votes
1 answer
80
GATE CSE 1991 | Question: 01-v
When two $4$-bit numbers $A = a_3a_2a_1a_0$ and $B=b_3b_2b_1b_0$ are multiplied, the bit $c_1$ of the product $C$ is given by ________
When two $4$-bit numbers $A = a_3a_2a_1a_0$ and $B=b_3b_2b_1b_0$ are multiplied, the bit $c_1$ of the product $C$ is given by ________
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