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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 viewed questions in Digital Logic

29 votes
3 answers
121
GATE CSE 1999 | Question: 1.21
The maximum gate delay for any output to appear in an array multiplier for multiplying two $n$ bit numbers is $O(n^2)$ $O(n)$ $O(\log n)$ $O(1)$
The maximum gate delay for any output to appear in an array multiplier for multiplying two $n$ bit numbers is$O(n^2)$$O(n)$$O(\log n)$$O(1)$
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8 votes
2 answers
123
ISRO2016-17
Which of the following binary number is the same as its $2's$ complement ? $1010$ $0101$ $1000$ $1001$
Which of the following binary number is the same as its $2's$ complement ?$1010$$0101$$1000$$1001$
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1 votes
1 answer
124
Morris Mano Edition 3 Exercise 2 Question 15 (Page No. 71)
Convert the following Expressions into the sum of Products and Product of sums. (AB + C)(B + C’D) X’ + X(X + Y’)(Y + Z’)
Convert the following Expressions into the sum of Products and Product of sums.(AB + C)(B + C’D)X’ + X(X + Y’)(Y + Z’)
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47 votes
5 answers
125
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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29 votes
5 answers
127
GATE IT 2004 | Question: 8
What is the minimum number of $\text{NAND}$ gates required to implement a $2\text{-input EXCLUSIVE-OR}$ function without using any other logic gate? $2$ $4$ $5$ $6$
What is the minimum number of $\text{NAND}$ gates required to implement a $2\text{-input EXCLUSIVE-OR}$ function without using any other logic gate?$2$$4$$5$$6$
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2 votes
2 answers
130
Morris Mano Edition 3 Exercise 2 Question 14 (Page No. 71)
Convert the following to the other canonical Form $(a) F(A,B,C,D) = \prod(0,1,2,3,4,6,12)$ $(b) F(x,y,z) = \sum(1,3,7)$
Convert the following to the other canonical Form$(a) F(A,B,C,D) = \prod(0,1,2,3,4,6,12)$$(b) F(x,y,z) = \sum(1,3,7)$
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19 votes
4 answers
131
GATE CSE 2019 | Question: 4
In $16$-bit $2$’s complement representation, the decimal number $-28$ is: $1111 \: 1111 \: 0001 \: 1100$ $0000 \: 0000 \: 1110 \: 0100$ $1111 \: 1111 \: 1110 \: 0100$ $1000 \: 0000 \: 1110 \: 0100$
In $16$-bit $2$’s complement representation, the decimal number $-28$ is:$1111 \: 1111 \: 0001 \: 1100$$0000 \: 0000 \: 1110 \: 0100$$1111 \: 1111 \: 1110 \: 0100$$1000...
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32 votes
4 answers
132
GATE CSE 2017 Set 2 | Question: 42
The next state table of a $2-$ ... $T_1 = Q_1+Q_0, \quad T_0= \bar{Q_1} \bar{Q_0}$ $T_1 = \bar{Q_1}Q_0, \quad T_0= Q_1 + Q_0$
The next state table of a $2-$bit saturating up-counter is given below.$\begin{array}{cc|cc} Q_1 & Q_0 & Q_1^+ & Q_0^+ \\ \hline 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 1 & 0...
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38 votes
4 answers
134
GATE CSE 2000 | Question: 1.6
The number $43$ in $2's$ complement representation is $01010101$ $11010101$ $00101011$ $10101011$
The number $43$ in $2's$ complement representation is$01010101$$11010101$$00101011$$10101011$
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37 votes
4 answers
135
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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9 votes
3 answers
137
GATE CSE 2023 | Question: 11
The output of a $2$-input multiplexer is connected back to one of its inputs as shown in the figure. Match the functional equivalence of this circuit to one of the following options. $\text{D}$ Flip-flop $\text{D}$ Latch Half-adder Demultiplexer
The output of a $2$-input multiplexer is connected back to one of its inputs as shown in the figure.Match the functional equivalence of this circuit to one of the followi...
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4 votes
3 answers
138
ISRO2017-26
Advantage of synchronous sequential circuits over asynchronous one is : Lower hardware requirement Better noise immunity Faster operation All of the above
Advantage of synchronous sequential circuits over asynchronous one is :Lower hardware requirementBetter noise immunityFaster operationAll of the above
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10 votes
6 answers
139
ISRO2015-8
Minimum number of $2 \times 1$ multiplexers required to realize the following function, $f = \overline{A} \;\overline{B} C + \overline{A}\; \overline{B} \;\overline{C}$ Assume that inputs are available only in true form and Boolean a constant $1$ and $0$ are available. $1$ $2$ $3$ $7$
Minimum number of $2 \times 1$ multiplexers required to realize the following function, $f = \overline{A} \;\overline{B} C + \overline{A}\; \overline{B} \;\overline{C}$As...
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0 votes
1 answer
140
solve
In a particular number system having base B. (√41)B =(5)10 The value of ‘B ’ is _____.
In a particular number system having base B.(√41)B =(5)10The value of ‘B ’ is _____.
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