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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 answered questions in Digital Logic

70 votes
5 answers
121
GATE CSE 2006 | Question: 8
You are given a free running clock with a duty cycle of $50\%$ and a digital waveform $f$ which changes only at the negative edge of the clock. Which one of the following circuits (using clocked D flip-flops) will delay the phase of $f$ by $180°$?
You are given a free running clock with a duty cycle of $50\%$ and a digital waveform $f$ which changes only at the negative edge of the clock. Which one of the following...
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47 votes
5 answers
123
GATE CSE 2001 | Question: 2.11
Consider the circuit shown below. The output of a $2:1$ MUX is given by the function $(ac' + bc)$. Which of the following is true? $f=X_1'+X_2$ $f=X_1'X_2+X_1X_2'$ $f=X_1X_2+X_1'X_2'$ $f=X_1+X_2'$
Consider the circuit shown below. The output of a $2:1$ MUX is given by the function $(ac' + bc)$.Which of the following is true?$f=X_1'+X_2$$f=X_1'X_2+X_1X_2'$$f=X_1X_2+...
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37 votes
5 answers
125
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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25 votes
5 answers
127
GATE CSE 1991 | Question: 01-iii
Consider the number given by the decimal expression: $16^3*9 + 16^2*7 + 16*5+3$ The number of $1’s$ in the unsigned binary representation of the number is ______
Consider the number given by the decimal expression:$$16^3*9 + 16^2*7 + 16*5+3$$The number of $1’s$ in the unsigned binary representation of the number is ______
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8 votes
4 answers
129
GATE CSE 2021 Set 1 | Question: 6
Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number? $15$ $21$ $\text{D}2$ $528$
Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number?$15$$21$$\text{D}2$$528$
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2 votes
4 answers
132
GATE Overflow Test Series | Digital Logic | Test 1 | Question: 8
If $A\odot B=C$, ($\odot$ is XNOR operator) then which of the following is/are TRUE? (Mark all the appropriate choices) $A\odot C=B$ $B\odot C=A$ $A\odot B\odot C=1$ $A\odot B\odot C=0$
If $A\odot B=C$, ($\odot$ is XNOR operator) then which of the following is/are TRUE? (Mark all the appropriate choices)$A\odot C=B$$B\odot C=A$$A\odot B\odot C=1$$A\odot ...
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4 votes
4 answers
133
NIELIT 2017 DEC Scientific Assistant A - Section B: 55
In Boolean algebra $1+1+1+1\dots\dots 800$ times ones $=$ ______ . $1$ $0$ $11$ $800$
In Boolean algebra $1+1+1+1\dots\dots 800$ times ones $=$ ______ .$1$$0$$11$$800$
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2 votes
4 answers
134
NIELIT 2016 MAR Scientist B - Section C: 6
The result of the subtraction $FD​_{16} - ​88_{16​}$ is $75_{16}$ $65_{16}$ $5E_{16}$ $10_{16}$
The result of the subtraction $FD​_{16} - ​88_{16​}$ is$75_{16}$$65_{16}$$5E_{16}$$10_{16}$
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2 votes
4 answers
135
NIELIT 2016 DEC Scientist B (CS) - Section B: 33
What will be the Excess-$3$ code for $1001$? $1001$ $1010$ $1011$ $1100$
What will be the Excess-$3$ code for $1001$?$1001$$1010$$1011$$1100$
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0 votes
4 answers
136
UGC NET CSE | January 2017 | Part 2 | Question: 9
Convert the octal number $0.4051$ into its equivalent decimal number. $0.5100098$ $0.2096$ $0.52$ $0.4192$
Convert the octal number $0.4051$ into its equivalent decimal number.$0.5100098$$0.2096$$0.52$$0.4192$
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17 votes
4 answers
137
GATE CSE 2020 | Question: 20
If there are $m$ input lines and $n$ output lines for a decoder that is used to uniquely address a byte addressable $1$ KB RAM, then the minimum value of $m+n$ is ________ .
If there are $m$ input lines and $n$ output lines for a decoder that is used to uniquely address a byte addressable $1$ KB RAM, then the minimum value of $m+n$ is _______...
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15 votes
4 answers
138
GATE CSE 2020 | Question: 28
Consider the Boolean function $z(a,b,c)$. Which one of the following minterm lists represents the circuit given above? $z=\sum (0,1,3,7)$ $z=\sum (1,4,5,6,7)$ $z=\sum (2,4,5,6,7)$ $z=\sum (2,3,5)$
Consider the Boolean function $z(a,b,c)$. Which one of the following minterm lists represents the circuit given above?$z=\sum (0,1,3,7)$$z=\sum (1,4,5,6,7)$$z=\sum (2,4,5...
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7 votes
4 answers
140
ISI2017-DCG-10
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is $0$ $1$ $A$ $BC$
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is$0$$1$$A$$BC$
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