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

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

Highest voted questions in Digital Logic

27 votes
2 answers
151
27 votes
2 answers
152
27 votes
2 answers
153
27 votes
4 answers
154
Let $*$ be defined as $x * y = \bar{x} + y$. Let $z = x * y$. Value of $z * x$ is $\bar{x} + y$$x$$0$$1$
27 votes
6 answers
155
The minimum number of $\text{D}$ flip-flops needed to design a mod-258 counter is98512258
27 votes
5 answers
156
27 votes
7 answers
157
27 votes
5 answers
158
Let $A = 1111 1010$ and $B = 0000 1010$ be two $8-bit$ $2’s$ complement numbers. Their product in $2’s$ complement is$1100 0100$$1001 1100$$1010 0101$$1101 0101$
27 votes
5 answers
159
Assuming all numbers are in $2’s$ complement representation, which of the following numbers is divisible by $11111011$?$11100111$$11100100$$11010111$$11011011$
27 votes
6 answers
160
The $2's$ complement representation of the decimal value $-15$ is$1111$$11111$$111111$$10001$
27 votes
1 answer
161
26 votes
3 answers
162
Find values of Boolean variables $A, B, C$ which satisfy the following equations:A+ B = 1AC = BCA + C = 1AB = 0
26 votes
4 answers
164
Using a $4-bit$ $2's$ complement arithmetic, which of the following additions will result in an overflow?$1100 + 1100$$0011 + 0111$$1111 + 0111$i onlyii onlyiii onlyi and...
26 votes
3 answers
165
Consider the following circuit:The flip-flops are positive edge triggered $D$ $\textsf{FF}$s. Each state is designated as a two-bit string $Q_0Q_1$. Let the initial state...
26 votes
6 answers
167
25 votes
4 answers
169