Answers by Doraemon - GATE Overflow

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1

GATE2006-IT-65
In the $4B/5B$ encoding scheme, every $4$ bits of data are encoded in a $5$-bit codeword. It is required that the codewords have at most $1$ leading and at most $1$ trailing zero. How many are such codewords possible? $14$ $16$ $18$ $20$

answered Nov 21 in Computer Networks | 3.1k views

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2

GATE2004-47
Consider a system with a two-level paging scheme in which a regular memory access takes $150$ $nanoseconds$, and servicing a page fault takes $8$ $milliseconds$. An average instruction takes $100$ nanoseconds of CPU time, and two memory accesses. The ... instruction execution time? $\text{645 nanoseconds}$ $\text{1050 nanoseconds}$ $\text{1215 nanoseconds}$ $\text{1230 nanoseconds}$

answered Nov 18 in CO and Architecture | 20.3k views

+1 vote

3

TIFR2019-B-10
Let the language $D$ be defined in the binary alphabet $\{0,1\}$ as follows: $D:= \{ w \in \{0,1\}^* \mid \text{ substrings 01 and 10 occur an equal number of times in w} \}$ For example , $101 \in D$ while $1010 \notin D$. Which of the ... ? $D$ is regular $D$ is context-free but not regular $D$ is decidable but not context-free $D$ is decidable but not in NP $D$ is undecidable

answered Nov 11 in Theory of Computation | 287 views

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4

GATE1999-2.10
A multi-user, multi-processing operating system cannot be implemented on hardware that does not support Address translation DMA for disk transfer At least two modes of CPU execution (privileged and non-privileged) Demand paging

answered Nov 5 in Operating System | 4.2k views

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5

GATE2005-IT-42
Two concurrent processes $P1$ and $P2$ use four shared resources $R1, R2, R3$ and $R4$, as shown below. $\begin{array}{|l|l|}\hline \textbf{P1} & \textbf{P2} \\ \text{Compute: } & \text{Compute;} \\ \text{Use $ ... If only binary semaphores are used to enforce the above scheduling constraints, what is the minimum number of binary semaphores needed? $1$ $2$ $3$ $4$

answered Sep 18 in Operating System | 3.6k views

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6

GATE2006-19
Let $L_1=\{0^{n+m}1^n0^m\mid n,m\geq 0 \}$, $L_2=\{0^{n+m}1^{n+m}0^m\mid n,m\geq 0\}$ and $L_3=\{0^{n+m}1^{n+m}0^{n+m}\mid n,m\geq 0\} $. Which of these languages are NOT context free? $L_1$ only $L_3$ only $L_1$ and $L_2$ $L_2$ and $L_3$

answered Aug 31 in Theory of Computation | 3.1k views

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7

GATE2003-3
Let $P(E)$ denote the probability of the event $E$. Given $P(A) = 1$, $P(B) =\dfrac{1}{2}$, the values of $P(A\mid B)$ and $P(B\mid A)$ respectively are $\left(\dfrac{1}{4}\right),\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{2}\right),\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{2}\right),{1}$ ${1},\left(\dfrac{1}{2}\right)$

answered Aug 28 in Probability | 2.4k views

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8

GATE2005-52
A random bit string of length n is constructed by tossing a fair coin n times and setting a bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identical is: $\frac{1}{2^n}$ $1 - \frac{1}{n}$ $\frac{1}{n!}$ $1 - \frac{1}{2^n}$

answered Aug 28 in Probability | 1.8k views

+4 votes

9

GATE2018-37
A lexical analyzer uses the following patterns to recognize three tokens $T_1$, $T_2$, and $T_3$ over the alphabet $\{a, b, c\}$. $T_1$: $a?(b \mid c)^*a$ $T_2$: $b?(a \mid c)^*b$ $T_3$: $c?(b \mid a)^*c$ Note that ... prefix. If the string bbaacabc is processes by the analyzer, which one of the following is the sequence of tokens it outputs? $T_1T_2T_3$ $T_1T_1T_3$ $T_2T_1T_3$ $T_3T_3$

answered Aug 17 in Compiler Design | 4.8k views

0 votes

10

GATE2010-39
Let $L=\{ w \in \:(0+1)^* \mid w\text{ has even number of }1s \}$. i.e., $L$ is the set of all the bit strings with even numbers of $1$s. Which one of the regular expressions below represents $L$? $(0^*10^*1)^*$ $0^*(10^*10^*)^*$ $0^*(10^*1)^*0^*$ $0^*1(10^*1)^*10^*$

answered Aug 1 in Theory of Computation | 4.5k views

+1 vote

11

self doubt
Is there any shortcut or Trick to get min number of multiplication faster? I mean if we could know the right split.

answered Mar 26 in Algorithms | 124 views

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