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

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

Hot questions in Digital Logic

0 votes
2 answers
181
Reduce the following Boolean expression to the required number of literals(A+C+D)(A+C+D')(A+C+D)(A+B')
0 votes
1 answer
184
Find the complement of the following Boolean functions and reduce them to a minimum number of literalsa) (BC'+A'D)(AB'+CD')b)B'D+A'BC'+ACD+A'BCc)[(AB)'A][(AB)'B]d)AB'+C'D...
37 votes
5 answers
187
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...
0 votes
0 answers
190
0 votes
0 answers
191
Construct a BCD-to-excess-3-code converter with a 4-bit adder. Remember that the excess-3 code digit is obtained by adding three to the corresponding BCD digit. What mus...
0 votes
1 answer
192
In a number system range of numbers are - 3to3 represented as C,B ,A,0,1,2,3 what will be 102 base 10 in the system?
25 votes
4 answers
193
19 votes
2 answers
194
If $73_x$ (in base-x number system) is equal to $54_y$ (in base $y$-number system), the possible values of $x$ and $y$ are$8, 16$$10, 12$$9, 13$$8, 11$
0 votes
0 answers
195
0 votes
0 answers
196
The function f(A,B,C,D)=Ʃ(3,4,5,7,9,13,14,15) is realized with the following digital logic block circuit. Each digital logic block is implemented with minimum number of ...
0 votes
1 answer
197
23 votes
3 answers
198
The decimal value $0.25$is equivalent to the binary value $0.1$is equivalent to the binary value $0.01$is equivalent to the binary value $0.00111$cannot be represented pr...
8 votes
4 answers
199
Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number?$15$$21$$\text{D}2$$528$