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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2024-1} & \textbf{2024-2}  & \textbf{2023}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2&2&2&1&2&3&1&2&3
\\\hline\textbf{2 Marks Count} & 2&2&2&2&2&2&2&2&2
\\\hline\textbf{Total Marks} & 6&6&6&5&6&7&\bf{5}&\bf{6}&\bf{7}\\\hline
\end{array}}}$$

Questions without answers in Digital Logic

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1
Design a circuit with 4 inputs that has outputs with a binary value equal to the number of inputs that are HIGH.
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2
What is the maximum n-bit number in base x ,when represented in decimal(10)?
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4
Design a 3-bit code to represent each of the six digits of the base-6 number system. Make the binary code self-complementing so that the 5's complement is obtained by cha...
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6
In a ripple counter, the state whose output has a frequency equal to 1/8th that of the clock signal applied to the first stage, also has an output periodicity equal to 1/...
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7
I am unable to understand the language of the question , can someone help me??
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8
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11
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17
Here clr is active low that means 0 then it will clear to 0. Then (Q2.Q0)' =0 or Q2=1 and Q0=1 then clr works. Then it will contain only 1 state. Right?? But answer is ...
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18
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19
ANALYZE THE CIRCUIT GIVEN ABOVE.
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20
How many decade counters are necessary to implement a divide by 100 counter and divide by 10000 counter?
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22
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23
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26
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28
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29
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...
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30
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