Recent questions tagged numerical-answers

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Computer Organization, Instruction Set Architecture, Gateforum
Consider a system with 16 Registers(Ro,R1,...R8).An instruction SUB Ro,R1 , which is two bytes long,what is the space assigned to the opcode field (in bits) ?

Swarnava Bose asked in CO and Architecture 23 hours ago

by Swarnava Bose

13 views

2 votes

2 answers

2

Applied Test Series
A given system has 13 processes and x number of copies of a resource r. Out of 13 processes, 6 processes require 2 resources each, 3 processes require 3 resources each and the remaining processes require 5 resources each. The minimum value of x will guarantee that the system is deadlock free is ____.

LRU asked in Operating System Oct 10

by LRU

49 views

1 vote

2 answers

3

Applied Test Series
Given 5 processes and R copies of total resources in a system, each process requires 7 copies of resources to complete its execution. The maximum value of R to have deadlock is ___

LRU asked in Operating System Oct 10

by LRU

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0 votes

1 answer

4

#self_doubt #BST
The number of ways in which the numbers $1,2,3,4,5,6,7$ can be inserted in an empty binary search tree, such that the resulting tree has height $5$, is _________. Note: The height of a tree with a single node is 0.

Divyanshu Shukla asked in DS Sep 20

by Divyanshu Shukla

110 views

2 votes

1 answer

5

GATE CSE 1995 | Question: 7(B)
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$

Lakshman Patel RJIT asked in Calculus Apr 25

by Lakshman Patel RJIT

347 views

4 votes

3 answers

6

GATE CSE 2021 Set 2 | Question: 16
Consider a complete binary tree with $7$ nodes. Let $A$ denote the set of first $3$ elements obtained by performing Breadth-First Search $\text{(BFS)}$ starting from the root. Let $B$ denote the set of first $3$ elements obtained by performing Depth-First Search $\text{(DFS)}$ starting from the root. The value of $\mid A-B \mid $ is _____________

Arjun asked in DS Feb 18

by Arjun

2.3k views

9 votes

3 answers

7

GATE CSE 2021 Set 2 | Question: 17
Consider the following deterministic finite automaton $\text{(DFA)}$ The number of strings of length $8$ accepted by the above automaton is ___________

Arjun asked in Theory of Computation Feb 18

by Arjun

1.9k views

7 votes

2 answers

8

GATE CSE 2021 Set 2 | Question: 18
If $x$ and $y$ are two decimal digits and $(0.1101)_2 = (0.8xy5)_{10}$, the decimal value of $x+y$ is ___________

Arjun asked in Digital Logic Feb 18

by Arjun

1.1k views

5 votes

4 answers

9

GATE CSE 2021 Set 2 | Question: 19
Consider a set-associative cache of size $\text{2KB (1KB} =2^{10}$ bytes$\text{)}$ with cache block size of $64$ bytes. Assume that the cache is byte-addressable and a $32$ -bit address is used for accessing the cache. If the width of the tag field is $22$ bits, the associativity of the cache is _________

Arjun asked in CO and Architecture Feb 18

by Arjun

1.7k views

4 votes

3 answers

10

GATE CSE 2021 Set 2 | Question: 20
Consider a computer system with $\text{DMA}$ support. The $\text{DMA}$ module is transferring one $8$-bit character in one $\text{CPU}$ cycle from a device to memory through cycle stealing at regular intervals. Consider a $\text{2 MHz}$ ... $\text{DMA}$, the data transfer rate of the device is __________ bits per second.

Arjun asked in CO and Architecture Feb 18

by Arjun

2.1k views

3 votes

1 answer

11

GATE CSE 2021 Set 2 | Question: 21
A data file consisting of $1,50,000$ student-records is stored on a hard disk with block size of $4096$ bytes. The data file is sorted on the primary key $\textrm{RollNo}$. The size of a record pointer for this disk is $7$ bytes. ... that the records of data file and index file are not split across disk blocks. The number of blocks in the index file is ________

Arjun asked in Databases Feb 18

by Arjun

1.6k views

6 votes

1 answer

12

GATE CSE 2021 Set 2 | Question: 22
For a given biased coin, the probability that the outcome of a toss is a head is $0.4$. This coin is tossed $1,000$ times. Let $X$ denote the random variable whose value is the number of times that head appeared in these $1,000$ tosses. The standard deviation of $X$ (rounded to $2$ decimal place) is _________

Arjun asked in Probability Feb 18

by Arjun

1.3k views

3 votes

2 answers

13

GATE CSE 2021 Set 2 | Question: 23
Consider the following $\text{ANSI C}$ function: int SomeFunction (int x, int y) { if ((x==1) || (y==1)) return 1; if (x==y) return x; if (x > y) return SomeFunction(x-y, y); if (y > x) return SomeFunction (x, y-x); } The value returned by $\textrm{SomeFunction(15, 255)}$ is __________

Arjun asked in Algorithms Feb 18

by Arjun

1.2k views

10 votes

5 answers

14

GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________

Arjun asked in Linear Algebra Feb 18

by Arjun

2.8k views

3 votes

2 answers

15

GATE CSE 2021 Set 2 | Question: 25
Suppose that $f: \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function on the interval $[-3, 3]$ and a differentiable function in the interval $(-3,3)$ such that for every $x$ in the interval, $f’(x) \leq 2$. If $f(-3)=7$, then $f(3)$ is at most __________

Arjun asked in Calculus Feb 18

by Arjun

1.1k views

11 votes

3 answers

16

GATE CSE 2021 Set 2 | Question: 48
Consider a three-level page table to translate a $39-$bit virtual address to a physical address as shown below: The page size is $\text{4 KB} \;(1\text{KB}=2^{10}$ bytes$)$ and page table entry size at every level is $8$ bytes. A ... $P$ across all levels is _________ $\text{KB}$.

Arjun asked in Operating System Feb 18

by Arjun

4.2k views

5 votes

3 answers

17

GATE CSE 2021 Set 2 | Question: 49
Consider the following $\text{ANSI C}$ program #include <stdio.h> int foo(int x, int y, int q) { if ((x<=0) && (y<=0)) return q; if (x<=0) return foo(x, y-q, q); if (y<=0) return foo(x-q, y, q); return foo(x, ... ); } int main( ) { int r = foo(15, 15, 10); printf( %d , r); return 0; } The output of the program upon execution is _________

Arjun asked in Algorithms Feb 18

by Arjun

1.5k views

7 votes

5 answers

18

GATE CSE 2021 Set 2 | Question: 50
Let $S$ be a set of consisting of $10$ elements. The number of tuples of the form $(A,B)$ such that $A$ and $B$ are subsets of $S$, and $A \subseteq B$ is ___________

Arjun asked in Combinatory Feb 18

by Arjun

2.5k views

1 vote

1 answer

19

GATE CSE 2021 Set 2 | Question: 51
Consider the following augmented grammar with $\{ \#, @, <, >, a, b, c \}$ ... $\text{GOTO(GOTO}(I_0<), <)$ is ___________

Arjun asked in Compiler Design Feb 18

by Arjun

1.2k views

6 votes

2 answers

20

GATE CSE 2021 Set 2 | Question: 52
Consider a Boolean function $f(w,x,y,z)$ such that $\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}$The number of literals in the minimal sum-of-products expression of $f$ is _________

Arjun asked in Digital Logic Feb 18

by Arjun

2.4k views

8 votes

3 answers

21

GATE CSE 2021 Set 2 | Question: 53
Consider a pipelined processor with $5$ stages, $\text{Instruction Fetch} (\textsf{IF})$, $\text{Instruction Decode} \textsf{(ID)}$, $\text{Execute } \textsf{(EX)}$, $\text{Memory Access } \textsf{(MEM)}$ ... $\textit{Speedup} $ achieved in executing the given instruction sequence on the pipelined processor (rounded to $2$ decimal places) is _____________

Arjun asked in CO and Architecture Feb 18

by Arjun

3k views

7 votes

2 answers

22

GATE CSE 2021 Set 2 | Question: 54
Consider a network using the pure $\text{ALOHA}$ medium access control protocol, where each frame is of length $1,000$ bits. The channel transmission rate is $1$ Mbps ($=10^6$ bits per second). The aggregate number ... the average number of frames successfully transmitted per second. The throughput of the network (rounded to the nearest integer) is ______________

Arjun asked in Computer Networks Feb 18

by Arjun

2.7k views

6 votes

2 answers

23

GATE CSE 2021 Set 2 | Question: 55
In a directed acyclic graph with a source vertex $\textsf{s}$, the $\textit{quality-score}$ of a directed path is defined to be the product of the weights of the edges on the path. Further, for a vertex $v$ other than $\textsf{s}$, the quality ... $\textsf{s}$ is assumed to be $1$. The sum of the quality-scores of all vertices on the graph shown above is _______

Arjun asked in Algorithms Feb 18

by Arjun

1.5k views

2 votes

5 answers

24

GATE CSE 2021 Set 1 | Question: 16
In an undirected connected planar graph $G$, there are eight vertices and five faces. The number of edges in $G$ is _________.

Arjun asked in Graph Theory Feb 18

by Arjun

2k views

2 votes

3 answers

25

GATE CSE 2021 Set 1 | Question: 17
Consider the following undirected graph with edge weights as shown: The number of minimum-weight spanning trees of the graph is ___________.

Arjun asked in Algorithms Feb 18

by Arjun

2.3k views

3 votes

2 answers

26

GATE CSE 2021 Set 1 | Question: 18
The lifetime of a component of a certain type is a random variable whose probability density function is exponentially distributed with parameter $2$. For a randomly picked component of this type, the probability that its lifetime exceeds the expected lifetime (rounded to $2$ decimal places) is ____________.

Arjun asked in Probability Feb 18

by Arjun

1.6k views

7 votes

2 answers

27

GATE CSE 2021 Set 1 | Question: 19
There are $6$ jobs with distinct difficulty levels, and $3$ computers with distinct processing speeds. Each job is assigned to a computer such that: The fastest computer gets the toughest job and the slowest computer gets the easiest job. Every computer gets at least one job. The number of ways in which this can be done is ___________.

Arjun asked in Combinatory Feb 18

by Arjun

2.3k views

0 votes

2 answers

28

GATE CSE 2021 Set 1 | Question: 20
Consider the following expression.$\displaystyle \lim_{x\rightarrow-3}\frac{\sqrt{2x+22}-4}{x+3}$The value of the above expression (rounded to 2 decimal places) is ___________.

Arjun asked in Calculus Feb 18

by Arjun

1.1k views

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