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Answers by Kapil
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+4
votes
1
Series Summation
Series summation of $S_n$ in closed form? $\begin{align*} &S_n = \frac{1}{1.2.3.4} + \frac{1}{2.3.4.5} + \frac{1}{3.4.5.6} + \dots + \frac{1}{n.(n+1).(n+2).(n+3)} \end{align*}$
answered
Jun 11
in
Set Theory & Algebra

71
views
numbertheory
summation
discretemathematics
+3
votes
2
combinatorics
In how many ways 8 different shirts can be distributed to 4 different people so that each will get 2 shirts?
answered
Apr 28
in
Combinatory

82
views
discretemathematics
permutationsandcombinations
+4
votes
3
rosen discrete
How many strings of six lowercase letters of the English alphabet contain exactly two vowel?
answered
Apr 19
in
Combinatory

64
views
kennethrosen
discretemathematics
permutationsandcombinations
+4
votes
4
The intersection of a context free language and a regular language
answered
Apr 16
in
Theory of Computation

202
views
+4
votes
5
Gilbert Strang Problem set 1.3
Choose a coefficient b that makes this system singular. Then choose a righthand side g that makes it solvable. Find two solutions in that singular case. $2x +by = 16$ $4x + 8y = g$
answered
Apr 12
in
Linear Algebra

63
views
linearalgebra
gilbertstrang
+8
votes
6
GATEBOOK TEST
1 +2(1/2) +3(1/4)+ 4(1/8)+ .............. = ? getting 2 please check
answered
Apr 10
in
Numerical Ability

99
views
+8
votes
7
C programming  Output ?
#include <stdio.h> int main() { unsigned char a = 5; a = (1<<((sizeof(char)<<3)1)); char b = a; printf("%d %d\n",b,a); printf("%u %u\n",b,a); } If the size of a char datatype is 1 Byte, then what will be the output? [Edited]
answered
Apr 10
in
Programming

226
views
programminginc
+3
votes
8
cil2017 Q87
answered
Apr 9
in
Databases

47
views
cil2017
databases
losslessjoin
functionaldependencies
+4
votes
9
K&R BOOK
I have learnt that order of function call of f1() and f2() is compiler dependent from K&R book.Why precedence and associavity does not work in this case ?? Please clarify in details . #include<stdio.h> int x = 0; int f1() { x = 5; return x; } int f2() { x = 10; return x; } int main() { int p = f1() + f2(); printf("%d ", x); return 0; }
answered
Apr 2
in
Programming

144
views
programminginc
+4
votes
10
GATE200362
In a permutation \(a_1 ... a_n\), of n distinct integers, an inversion is a pair \((a_i, a_j)\) such that \(i < j\) and \(a_i > a_j\). What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations ... most $n$ inversions? \(\Theta(n^2)\) \(\Theta(n\log n)\) \(\Theta(n^{1.5})\) \(\Theta(n)\)
answered
Apr 1
in
Algorithms

883
views
gate2003
algorithms
sorting
normal
+6
votes
11
CSMA/CD
answered
Mar 14
in
Computer Networks

121
views
computernetworks
csmacd
ethernet
+7
votes
12
float vs double
Program 1: #include<stdio.h> int main() { float x = 0.1; if (x == 0.1) printf("IF"); else if (x == 0.1f) printf("ELSE IF"); else printf("ELSE"); } The output of above program is ... weird output and is there any way to predict these outputs on the same processor. Also how comparison is done of two variables in C ?
answered
Mar 11
in
Programming

442
views
programminginc
ieeerepresentation
undefinedbehaviour
+5
votes
13
GATE201717
The nbit fixedpoint representation of an unsigned real number $X$ uses $f$ bits for the fraction part. Let $i = nf$. The range of decimal values for $X$ in this representation is (A) $2^{f}$ to $2^{i}$ (B) $2^{f}$ to $\left ( 2^{i}  2^{f} \right )$ (C) 0 to $2^{i}$ (D) 0 to $\left ( 2^{i}  2^{f} \right )$
answered
Mar 10
in
Digital Logic

1.1k
views
gate20171
digitallogic
numberrepresentation
fixedpointrepresentation
+5
votes
14
what is the probability that a randomly chosen bit string of length 10 is palindrome
answered
Mar 9
in
Combinatory

116
views
+2
votes
15
Rosen excercise
How many ways are there for 10 women and 6 men to stand in a line so that no two men stand to each other
answered
Mar 9
in
Combinatory

38
views
+2
votes
16
C. L. Liu 3.38(b)
Among $3n + 1$ objects, $n$ of them are identical. Find the number of ways to select $n$ objects out of these $3n + 1$ objects.
answered
Mar 9
in
Combinatory

38
views
+4
votes
17
TECHTUD, C PROGRAMMING
answered
Mar 8
in
Programming

165
views
programminginc
output
+3
votes
18
ISRO 2013 Calculus [Mech]
Lim x $\rightarrow$0 $\frac{x^{2}+ x  Sin x}{x^{2}}$ (a) 0 (b) ∞ (c) 1 (d) None of these
answered
Mar 8
in
Calculus

67
views
engineeringmathematics
isromech
isro
+3
votes
19
ISRO 2013 Angle between vectors [Mech]
answered
Mar 8
in
Linear Algebra

53
views
isro
engineeringmathematics
isromech
+4
votes
20
regular expression
Find the regular expression for $L=a^nb^m$ where $n>=3$ , $m$ is even ?
answered
Mar 8
in
Theory of Computation

82
views
theoryofcomputation
regularexpressions
+3
votes
21
ISRO 2014 Probability [Mech]
A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin? a) 70/82 b) 35/70 c) 41/82 d) 41/70
answered
Mar 7
in
Probability

156
views
engineeringmathematics
isro
isromech
+2
votes
22
Asynchronous counter circuit with feedback input GATEBOOK QS
answered
Feb 7
in
Digital Logic

154
views
counter
digitallogic
digitalcounter
+4
votes
23
GATEBOOK
answered
Feb 7
in
Mathematical Logic

68
views
discretemathematics
+4
votes
24
Cache Access Time
Assume that a system is using writethrough cache. It has 70% write hits. The cache operates in lookaside mode with a readhit ratio of 80%. The program run on the system is such that it has memory reference for read 70% of time and for write is ... are using no write allocate policy). Average access time of the system is A. 43 B. 55.2 C. 41.5 D. 60
answered
Jan 22
in
CO & Architecture

75
views
+5
votes
25
time required to fins the unknowm integer
answered
Jan 22
in
Algorithms

80
views
algorithms
+3
votes
26
COA_RAW DEPENDENCY
Assume that ADD x, y, z; denotes x ← y + z, SUB x, y, z; x ← y – z and MUL x, y, z; denotes x ← y ∗ z. Consider the following assembly code. I1: SUB R1,R2,R3 I2:ADD R2,R1 R3 I3:ADD R3 R1 R2 I4:SUB R1 R2 R2 Find the number of RAW dependencies in the above assembly code. a. 2 b. 5 c. 3 d. 6
answered
Jan 18
in
CO & Architecture

75
views
+6
votes
27
Virtual Gate 2016mock1 Question 57
answered
Jan 18
in
Computer Networks

143
views
virtualgate
mock12016
computernetworks
+7
votes
28
Hashing
Consider the hashing table with ‘m’ slots and ‘n’ keys. If the expected number of probes in unsuccessful search is 3. The expected number of probes in a successful search is _______ (upto 2 decimal place).
answered
Jan 17
in
Algorithms

95
views
+9
votes
29
DSCLL
Time complexity to insert a node in the end of circular linked list, if the pointer to the 1st node is given and number of nodes in list is N is A)O(1) B)O(log N) C)O(N) D)O(N log N)
answered
Jan 16
in
DS

322
views
datastructure
timecomplexity
algorithms
linkedlists
+6
votes
30
Compiler: Viable Prefixes
Consider the following grammaer: S>0S1  01 How many of the following are the viable prefixes of the grammar? i. 01 ii. 001 iii. 00011 iv. 00S1 PS: given answer i, ii and iv , please explain!
answered
Jan 13
in
Compiler Design

250
views
compilerdesign
parsing
viableprefix
+12
votes
31
Probability
2 friends Alice and Bob have found an unfair coin,It has 72% chance of coming up heads.Alice and Bob plays a game with this coin.If coin comes up head then tails,Alice wins.If it's reverse(tails,then heas),Bob wins.And if neither of those two things happens,the game restarts and continues untill there is a winner What is Bob's probability of winning?
answered
Jan 12
in
Mathematical Logic

262
views
probability
engineeringmathematics
+7
votes
32
Maths: Probability Distribution Que01
answered
Jan 12
in
Probability

145
views
probability
randomvariable
engineeringmathematics
discretemathematics
+5
votes
33
CN TCP
Imagine a TCP connection is transferring 6000B. First Byte is numbered as 10010.The sequence number of the last byte sent,if data are sent in 5 segments with the first 4 segments carrying 1000B and last segement carrying 2000B are ?
answered
Jan 11
in
Computer Networks

137
views
tcp
computernetworks
+7
votes
34
Time Complexity
what is the tightest upper bound of T(n)=T(n1)+2n
answered
Jan 8
in
Algorithms

148
views
+5
votes
35
How many memory accesses required by the following instructions?
answered
Jan 8
in
CO & Architecture

174
views
co&architecture
+3
votes
36
error in sentence
answered
Jan 7
in
Verbal Ability

199
views
+17
votes
37
min heap
The number of binary min. heaps that can be formed from a set of 7 distinct integers is _________?
answered
Jan 7
in
DS

526
views
+5
votes
38
cache and main memory
Assume the following performance characteristics on a cache read miss: one clock cycle to send an address to main memory and four clock cycles to access a 32bit word from main memory and transfer it to the processor and cache. ... transfer? What would be the answer if memory is not interleaved and word access is done sequentially from main memory?
answered
Jan 6
in
CO & Architecture

218
views
co&architecture
cachememory
+3
votes
39
First Order Logic
answered
Jan 1
in
Mathematical Logic

97
views
+9
votes
40
REVERSE = { M  M is a TM with the property: for all w, M(w) accepts iff M(wR) accepts}.
answered
Dec 31, 2016
in
Theory of Computation

137
views
theoryofcomputation
decidability
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