Recent questions tagged gate2001

+9 votes

1 answer

1

GATE2001-11-b
A sequential circuit takes an input stream of 0's and 1's and produces an output stream of 0's and 1's. Initially it replicates the input on its output until two consecutive 0's are encountered on the input. From then onward, it produces an output stream, ... be used to design the circuit. Give the minimized sum-of-product expression for J and K inputs of one of its state flip-flops

asked Feb 12, 2018 in Digital Logic by jothee Veteran | 813 views

+6 votes

2 answers

2

GATE2001-21-b
Consider a relation examinee (regno, name, score), where regno is the primary key to score is a real number. Write an SQL query to list the regno of examinees who have a score greater than the average score.

asked Feb 8, 2018 in Databases by jothee Veteran | 528 views

+1 vote

1 answer

3

GATE2001-21-c
Consider a relation $\text{examinee (regno, name, score)},$ where regno is the primary key to score is a real number. Suppose the relation $\text{appears (regno, centr_code)}$ specifies the center where an examinee appears. Write an SQL query to list the centr_code having an examinee of score greater than $80.$

asked Feb 8, 2018 in Databases by jothee Veteran | 309 views

+17 votes

4 answers

4

ISRO2007-11, GATE2001-1.19
Consider a set of n tasks with known runtimes $r_1, r_2, \dots r_n$ to be run on a uniprocessor machine. Which of the following processor scheduling algorithms will result in the maximum throughput? Round Robin Shortest job first Highest response ratio next first come first served

asked Jun 10, 2016 in Operating System by jothee Veteran | 5k views

+49 votes

5 answers

5

GATE2001-1.10, UGCNET-Dec2012-III: 36
Consider $n$ processes sharing the CPU in a round-robin fashion. Assuming that each process switch takes $s$ seconds, what must be the quantum size $q$ such that the overhead resulting from process switching is minimized but at the same time each process is guaranteed to get its turn at ... $q \leq \frac{t-ns}{n+1}$ $q \geq \frac{t-ns}{n+1}$

asked Sep 26, 2014 in Operating System by Kathleen Veteran | 7.5k views

+7 votes

2 answers

6

GATE2001-22
We wish to construct a $B^+$ tree with fan-out (the number of pointers per node) equal to $3$ for the following set of key values: $80, 50, 10, 70, 30, 100, 90$ Assume that the tree is initially empty and the values are added in the order given. Show ... trees need not be shown. The key values $30$ and $10$ are now deleted from the tree in that order show the tree after each deletion.

asked Sep 15, 2014 in Databases by Kathleen Veteran | 1k views

+15 votes

2 answers

7

GATE2001-21-a
Consider a relation examinee (regno, name, score), where regno is the primary key to score is a real number. Write a relational algebra using $( \Pi, \sigma, \rho, \times)$ to find the list of names which appear more than once in examinee.

asked Sep 15, 2014 in Databases by Kathleen Veteran | 1.3k views

+32 votes

3 answers

8

GATE2001-20
Consider a disk with the $100$ tracks numbered from $0$ to $99$ rotating at $3000$ rpm. The number of sectors per track is $100$ and the time to move the head between two successive tracks is $0.2$ millisecond. Consider a set of disk requests to ... at track $0$ and the elevator algorithm is used to schedule disk requests, what is the worse case time to complete all the requests?

asked Sep 15, 2014 in Operating System by Kathleen Veteran | 3.7k views

+29 votes

3 answers

9

GATE2001-19
Two concurrent processes $P1$ and $P2$ want to use resources $R1$ and $R2$ in a mutually exclusive manner. Initially, $R1$ and $R2$ ... to deadlock. Exchange the statements $Q1$ and $Q3$ and statements $Q2$ and $Q4$. Is mutual exclusion guaranteed now? Can deadlock occur?

asked Sep 15, 2014 in Operating System by Kathleen Veteran | 2k views

+15 votes

2 answers

10

GATE2001-18
Remove left-recursion from the following grammar: $S \rightarrow Sa \mid Sb \mid a \mid b$ Consider the following grammar: $S \rightarrow aSbS\mid bSaS \mid ∊$ Construct all possible parse trees for the string abab. Is the grammar ambiguous?

asked Sep 15, 2014 in Compiler Design by Kathleen Veteran | 1.3k views

+6 votes

1 answer

11

GATE2001-17
The syntax of the repeat-until statement is given by the following grammar $S \rightarrow\text{ repeat }S_1\text{ until }E$ where E stands for expressions, $S$ and $S_1$ stand for statements. The non-terminals $S$ and $S_1$ have an attribute code that ... a statement. Use the operator '\\' to concatenate two strings and the function gen(s) to generate a line containing the string s.

asked Sep 15, 2014 in Compiler Design by Kathleen Veteran | 592 views

+19 votes

2 answers

12

GATE2001-16
Consider the following grammar with terminal alphabet $\Sigma =\{a,(,),+,* \}$ and start symbol $E$. The production rules of the grammar are: $ E \rightarrow aA$ $ E \rightarrow (E)$ $A \rightarrow +E$ $A \rightarrow *E$ $A \rightarrow \epsilon $ Compute the FIRST and FOLLOW sets for $E$ and $A$. Complete the LL(1) parse table for the grammar.

asked Sep 15, 2014 in Compiler Design by Kathleen Veteran | 991 views

+18 votes

2 answers

13

GATE2001-15
Consider a weighted undirected graph with vertex set $V = \{ n1, n2, n3, n4, n5, n6 \} $ and edge set $E = \{(n1,n2,2), (n1,n3,8), (n1,n6,3), (n2,n4,4), (n2,n5,12), (n3,n4,7), (n4,n5,9), (n4,n6,4)\}$. ... unique over all possible minimum spanning trees of a graph? Is the maximum among the edge weights of a minimum spanning tree unique over all possible minimum spanning tree of a graph?

asked Sep 15, 2014 in Algorithms by Kathleen Veteran | 1.6k views

+26 votes

3 answers

14

GATE2001-14
Insert the following keys one by one into a binary search tree in the order specified.$15, 32, 20, 9, 3, 25, 12, 1$Show the final binary search tree after the insertions. Draw the binary search tree after deleting $15$ from it. Complete the statements $S1$, $S2$ ... return 0; x = depth (t -> left); S1: ___________; S2: if (x > y) return __________; S3: else return _______; }

asked Sep 15, 2014 in DS by Kathleen Veteran | 1.6k views

+20 votes

2 answers

15

GATE2001-13
Consider the following C program: void abc(char*s) { if(s[0]=='\0')return; abc(s+1); abc(s+1); printf("%c",s[0]); } main() { abc("123"); } What will be the output of the program? If $abc(s)$ is called with a null-terminated string $s$ of length $n$ characters (not counting the null ('\0') character), how many characters will be printed by $abc(s)$?

asked Sep 15, 2014 in Programming by Kathleen Veteran | 2.4k views

+36 votes

2 answers

16

GATE2001-12
Consider a $5-$stage pipeline - IF (Instruction Fetch), ID (Instruction Decode and register read), EX (Execute), MEM (memory), and WB (Write Back). All (memory or register) reads take place in the second phase of a clock cycle and all ... Show all data dependencies between the four instructions. Identify the data hazards. Can all hazards be avoided by forwarding in this case.

asked Sep 15, 2014 in CO and Architecture by Kathleen Veteran | 5.2k views

+18 votes

1 answer

17

GATE2001-11-a
A sequential circuit takes an input stream of 0's and 1's and produces an output stream of 0's and 1's. Initially it replicates the input on its output until two consecutive 0's are encountered on the input. From then onward, it produces an output ... desired output 101100|10110100 0|11 J-K master-slave flip-flops are to be used to design the circuit. Give the state transition diagram

asked Sep 15, 2014 in Digital Logic by Kathleen Veteran | 1.3k views

+19 votes

5 answers

18

GATE2001-10
Is the $3\text{-variable}$ function $f= \Sigma(0,1,2,4)$ its self-dual? Justify your answer. Give a minimal product-of-sum form of the $b$ output of the following $\text{excess-3}$ to $\text{BCD}$ converter.

asked Sep 15, 2014 in Digital Logic by Kathleen Veteran | 1.4k views

+19 votes

2 answers

19

GATE2001-9
A CPU has $32-bit$ memory address and a $256 \ KB$ cache memory. The cache is organized as a $4-way$ set associative cache with cache block size of $16$ bytes. What is the number of sets in the cache? What is the size (in bits) of the tag ... bits are required to find the byte offset within a cache block? What is the total amount of extra memory (in bytes) required for the tag bits?

asked Sep 15, 2014 in CO and Architecture by Kathleen Veteran | 4.1k views

+32 votes

3 answers

20

GATE2001-8
Consider a disk with the following specifications: 20 surfaces, 1000 tracks/surface, 16 sectors/track, data density 1 KB/sector, rotation speed 3000 rpm. The operating system initiates the transfer between the disk and the memory sector-wise. Once the head has been ... transfer? What is the maximum percentage of time the CPU is held up for this disk I/O for cycle-stealing DMA transfer?

asked Sep 15, 2014 in Operating System by Kathleen Veteran | 4k views

+23 votes

2 answers

21

GATE2001-7
Let a decision problem $X$ be defined as follows: $X$: Given a Turing machine $M$ over $\Sigma$ and any word $w \in \Sigma$, does $M$ loop forever on $w$? You may assume that the halting problem of Turing machine is undecidable but partially decidable. Show that $X$ is undecidable Show that $X$ is not even partially decidable

asked Sep 15, 2014 in Theory of Computation by Kathleen Veteran | 1.5k views

+15 votes

2 answers

22

GATE2001-6
Give a deterministic PDA for the language $L=\{a^ncb^{2n} \mid n \geq 1\}$ over the alphabet $\Sigma = \{a,b,c\}$. Specify the acceptance state.

asked Sep 15, 2014 in Theory of Computation by Kathleen Veteran | 870 views

+23 votes

2 answers

23

GATE2001-5
Construct DFA's for the following languages: $L=\left\{w \mid w \in \{a,b\}^*, \text{ w has baab as a substring } \right\}$ $L=\left\{w \mid w \in \{a,b\}^*, \text{ w has an odd number of a's and an odd number of b's } \right\} $

asked Sep 15, 2014 in Theory of Computation by Kathleen Veteran | 1.4k views

+2 votes

3 answers

24

GATE2001-4
Consider the function $h: N \times N \rightarrow N$ so that $h(a,b) = (2a +1)2^b - 1$, where $N=\{0,1,2,3,\dots\}$ is the set of natural numbers. Prove that the function $h$ is an injection (one-one). Prove that it is also a Surjection (onto)

asked Sep 15, 2014 in Set Theory & Algebra by Kathleen Veteran | 589 views

+4 votes

2 answers

25

GATE2001-3
Prove that powerset $(A \cap B) = \text{powerset}(A) \cap \text{powerset}(B)$ Let $sum(n) = 0 + 1 + 2 + ..... + n$ for all natural numbers n. Give an induction proof to show that the following equation is true for all natural numbers $m$ and $n$: $sum(m+n) = sum(m) + sum(n) + mn$

asked Sep 15, 2014 in Set Theory & Algebra by Kathleen Veteran | 602 views

+43 votes

5 answers

26

GATE2001-2.25
Consider a relation geq which represents "greater than or equal to", that is, $(x,y) \in $ geq only if $y \geq x$. create table geq ( ib integer not null, ub integer not null, primary key ib, foreign key (ub) references geq on delete cascade ); Which of the ... tuple (z,w) with z > x is deleted A tuple (z,w) with w < x is deleted The deletion of (x,y) is prohibited

asked Sep 15, 2014 in Databases by Kathleen Veteran | 3.5k views

+27 votes

2 answers

27

GATE2001-2.24
Which of the rational calculus expression is not safe? $\left\{t \mid \exists u \in R_1\left(t[A] = u[A]\right) \land \neg \exists s \in R_2 \left(t[A] = s[A]\right)\right\}$ ... $\left\{t \mid \exists u \in R_1\left(t[A]=u[A]\right) \land \exists s \in R_2 \left(t[A] = s[A]\right)\right\}$

asked Sep 15, 2014 in Databases by Kathleen Veteran | 2.8k views

+86 votes

4 answers

28

GATE2001-2.23
$R(A,B,C,D)$ is a relation. Which of the following does not have a lossless join, dependency preserving $BCNF$ decomposition? $A \rightarrow B, B \rightarrow CD$ $A \rightarrow B, B \rightarrow C, C \rightarrow D$ $ AB \rightarrow C, C \rightarrow AD$ $A \rightarrow BCD$

asked Sep 15, 2014 in Databases by Kathleen Veteran | 13.5k views

+40 votes

5 answers

29

GATE2001-2.22
Consider Peterson's algorithm for mutual exclusion between two concurrent processes i and j. The program executed by process is shown below. repeat flag[i] = true; turn = j; while (P) do no-op; Enter critical section, perform actions, then exit critical section Flag[i] = false; Perform other ... = i flag[j] = true and turn = j flag[i] = true and turn = j flag[i] = true and turn = i

asked Sep 15, 2014 in Operating System by Kathleen Veteran | 5.8k views

+26 votes

3 answers

30

GATE2001-2.21
Consider a machine with $64$ MB physical memory and a $32$-bit virtual address space. If the page size s $4$ KB, what is the approximate size of the page table? $\text{16 MB}$ $\text{8 MB}$ $\text{2 MB}$ $\text{24 MB}$

asked Sep 15, 2014 in Operating System by Kathleen Veteran | 10.9k views

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