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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

9 votes
5 answers
81
ISRO2014-53
Consider the logic circuit given below. The inverter, AND and OR gates have delays of $6, 10$ and $11$ nanoseconds respectively. Assuming that wire delays are negligible, what is the duration of glitch for $\text{Q}$ before it becomes stable? $5$ $11$ $16$ $27$
Consider the logic circuit given below.The inverter, AND and OR gates have delays of $6, 10$ and $11$ nanoseconds respectively. Assuming that wire delays are negligible, ...
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9 votes
5 answers
83
ISRO2015-10
The boolean expression $\text{AB + A}\text{B}'+\text{A}'\text{C + AC}$ is independent of the boolean variable $\text{A}$ $\text{B}$ $\text{C}$ None of these
The boolean expression $\text{AB + A}\text{B}'+\text{A}'\text{C + AC}$ is independent of the boolean variable$\text{A}$$\text{B}$$\text{C}$None of these
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9 votes
5 answers
84
ISRO2007-18
The number of digit 1 present in the binary representation of $3 \times 512 + 7 \times 64 + 5 \times 8 + 3$ is 8 9 10 12
The number of digit 1 present in the binary representation of$3 \times 512 + 7 \times 64 + 5 \times 8 + 3$ is891012
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9 votes
5 answers
85
ISRO2007-04
When two numbers are added in excess-$3$ code and the sum is less than $9$, then in order to get the correct answer it is necessary to subtract $0011$ from the sum add $0011$ to the sum subtract $0110$ from the sum add $0110$ to the sum
When two numbers are added in excess-$3$ code and the sum is less than $9$, then in order to get the correct answer it is necessary tosubtract $0011$ from the sumadd $001...
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9 votes
5 answers
86
ISRO-2013-28
The most simplified form of the Boolean function $x (A, B, C, D) = \sum (7, 8, 9, 10, 11, 12, 13, 14, 15)$ (expressed in sum of minterms) is? A + A'BCD AB + CD A + BCD ABC + D
The most simplified form of the Boolean function$x (A, B, C, D) = \sum (7, 8, 9, 10, 11, 12, 13, 14, 15)$(expressed in sum of minterms) is?A + A'BCDAB + CDA + BCDABC + D
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4 votes
5 answers
87
What is the value of base x?
Given $(135)_x+(144)_x=(323)_x$ What is the value of base $x$ ?
Given$(135)_x+(144)_x=(323)_x$What is the value of base $x$ ?
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0 votes
5 answers
89
Output Waveform
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9 votes
5 answers
91
ISRO2015-7
If half adders and full adders are implements using gates, then for the addition of two $17$ bit numbers (using minimum gates) the number of half adders and full adders required will be $0,17$ $16,1$ $1,16$ $8,8$
If half adders and full adders are implements using gates, then for the addition of two $17$ bit numbers (using minimum gates) the number of half adders and full adders r...
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1 votes
5 answers
93
Digital Logic
No of switching fn for f (A, B, C, D)=BD+B'D' How to approach this question ?
No of switching fn for f (A, B, C, D)=BD+B'D'How to approach this question ?
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36 votes
5 answers
94
GATE CSE 2015 Set 3 | Question: 35
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
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34 votes
5 answers
95
GATE IT 2005 | Question: 48
The circuit shown below implements a $\text{2-input}$ NOR gate using two $2-4$ MUX (control signal $1$ selects the upper input). What are the values of signals $x, y$ and $z$? $1, 0, B$ $1, 0, A$ $0, 1, B$ $0, 1, A$
The circuit shown below implements a $\text{2-input}$ NOR gate using two $2-4$ MUX (control signal $1$ selects the upper input). What are the values of signals $x, y$ and...
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30 votes
5 answers
96
GATE IT 2005 | Question: 47
$(34.4)_{8} × \left ( 23.4 \right )_{8}$ evaluates to $(1053.6)_{8}$ $(1053.2)_{8}$ $(1024.2)_{8}$ None of these
$(34.4)_{8} × \left ( 23.4 \right )_{8}$ evaluates to$(1053.6)_{8}$$(1053.2)_{8}$$(1024.2)_{8}$None of these
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37 votes
5 answers
97
GATE IT 2005 | Question: 43
Which of the following input sequences will always generate a $1$ at the output $z$ ...
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...
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29 votes
5 answers
98
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$$6$
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47 votes
5 answers
99
GATE IT 2007 | Question: 7
Which of the following input sequences for a cross-coupled $R-S$ flip-flop realized with two $NAND$ gates may lead to an oscillation? $11, 00$ $01, 10$ $10, 01$ $00, 11$
Which of the following input sequences for a cross-coupled $R-S$ flip-flop realized with two $NAND$ gates may lead to an oscillation?$11, 00$$01, 10$$10, 01$$00, 11$
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