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2 answers
1
In the IEEE floating point representation the hexadecimal value $0\text{x}00000000$ corresponds to The normalized value $2^{-127}$ The normalized value $2^{-126}$ The normalized value $+0$ The special value $+0$
commented May 7, 2019 in Digital Logic 5.8k views
4 answers
2
For the synchronous counter shown in Fig.3, write the truth table of $Q_{0}, Q_{1}$,and $Q_{2}$ after each pulse, starting from $Q_{0}=Q_{1}=Q_{2}=0$ and determine the counting sequence and also the modulus of the counter.
commented Apr 27, 2019 in Digital Logic 1.6k views
2 answers
3
Consider the following Boolean function of four variables $f(A, B, C, D) = Σ(2, 3, 6, 7, 8, 9, 10, 11, 12, 13)$ The function is independent of one variable independent of two variables independent of three variable dependent on all the variables
commented Apr 21, 2019 in Digital Logic 2.7k views
4 answers
4
Which of the following sets of component(s) is/are sufficient to implement any arbitrary Boolean function? XOR gates, NOT gates $2$ to $1$ multiplexers AND gates, XOR gates Three-input gates that output $(A.B) + C$ for the inputs $A, B$ and $C$.
commented Apr 18, 2019 in Digital Logic 7.3k views
3 answers
5
Find the minimum product of sums of the following expression $f=ABC + \bar{A}\bar{B}\bar{C}$
commented Apr 17, 2019 in Digital Logic 1.8k views
6 answers
6
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is even. The probability of getting any even numbered face is the same. If the probability that the face is ... one of the following options is closest to the probability that the face value exceeds $3$? $0.453$ $0.468$ $0.485$ $0.492$
commented Apr 14, 2019 in Probability 5.5k views
3 answers
7
Consider the following state diagram and its realization by a JK flip flop The combinational circuit generates J and K in terms of x, y and Q. The Boolean expressions for J and K are : $\overline {x \oplus y}$ and $\overline {x \oplus y}$ $\overline {x \oplus y}$ and $ {x \oplus y}$ $ {x \oplus y}$ and $\overline {x \oplus y}$ $ {x \oplus y}$ and $ {x \oplus y}$
commented Apr 10, 2019 in Digital Logic 5.4k views
5 answers
8
Two eight bit bytes $1100 0011$ and $0100 1100$ are added. What are the values of the overflow, carry and zero flags respectively, if the arithmetic unit of the CPU uses $2$'s complement form? $0, 1, 1'$ $1, 1, 0$ $1, 0, 1$ $0, 1, 0$
commented Apr 3, 2019 in Digital Logic 4.1k views
3 answers
9
How many distinct ways are there to split $50$ identical coins among three people so that each person gets at least $5$ coins? $3^{35}$ $3^{50}-2^{50}$ $\binom{35}{2}$ $\binom{50}{15} \cdot 3^{35}$ $\binom{37}{2}$
commented Apr 1, 2019 in Combinatory 1.6k views
5 answers
10
There are $n$ kingdoms and $2n$ champions. Each kingdom gets $2$ champions. The number of ways in which this can be done is: $\frac{\left ( 2n \right )!}{2^{n}}$ $\frac{\left ( 2n \right )!}{n!}$ $\frac{\left ( 2n \right )!}{2^{n} . n!}$ $\frac{n!}{2}$ None of the above.
commented Apr 1, 2019 in Combinatory 1.4k views
3 answers
11
It is required to divide the $2n$ members of a club into $n$ disjoint teams of $2$ members each. The teams are not labelled. The number of ways in which this can be done is: $\frac{\left ( 2n \right )!}{2^{n}}$ $\frac{\left ( 2n \right )!}{n!}$ $\frac{\left ( 2n \right )!}{2^n . n!}$ $\frac{n!}{2}$ None of the above.
commented Apr 1, 2019 in Combinatory 1.9k views
1 answer
12
Suppose a box contains 20 balls: each ball has a distinct number in $\left\{1,\ldots,20\right\}$ written on it. We pick 10 balls (without replacement) uniformly at random and throw them out of the box. Then we check if the ball with number $``1"$ on it is present in the box. If it is ... that the ball with number $``2"$ on it is present in the box? $9/20$ $9/19$ $1/2$ $10/19$ None of the above
commented Apr 1, 2019 in Probability 923 views
4 answers
13
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second coin is drawn at random from the box ( without replacing the first one). Given that the first coin has shown head, the ... that the second coin is fair is $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
commented Apr 1, 2019 in Probability 1.1k views
1 answer
14
A biased coin is tossed repeatedly. Assume that the outcomes of different tosses are independent and probability of heads is $\dfrac{2}{3}$ in each toss. What is the probability of obtaining an even number of heads in $5$ ... $\left(\dfrac{124}{243}\right)$ $\left(\dfrac{125}{243}\right)$ $\left(\dfrac{128}{243}\right)$
commented Mar 31, 2019 in Probability 571 views
2 answers
15
The probability of throwing six perfect dices and getting six different faces is $1 -\dfrac{ 6!} { 6^{6}}$ $\dfrac{6! }{ 6^{6}}$ $6^{-6}$ $1 - 6^{-6}$ None of the above.
commented Mar 29, 2019 in Probability 662 views
14 answers
16
The coefficient of $x^{12}$ in $\left(x^{3}+x^{4}+x^{5}+x^{6}+\dots \right)^{3}$ is ___________.
commented Mar 27, 2019 in Combinatory 11.7k views
4 answers
17
Consider the sequence $\langle x_n \rangle , \: n \geq 0$ defined by the recurrence relation $x_{n+1} = c . x^2_n -2$, where $c > 0$. Suppose there exists a non-empty, open interval $(a, b)$ such that for all $x_0$ satisfying $a < x_0 < b$, the sequence converges to a limit. The sequence converges to the value? $\frac{1+\sqrt{1+8c}}{2c}$ $\frac{1-\sqrt{1+8c}}{2c}$ $2$ $\frac{2}{2c-1}$
commented Mar 27, 2019 in Combinatory 1.9k views
3 answers
19
Suppose that the expectation of a random variable $X$ is $5$. Which of the following statements is true? There is a sample point at which $X$ has the value $5$. There is a sample point at which $X$ has value greater than $5$. There is a sample point at which $X$ has a value greater than equal to $5$. None of the above
commented Mar 24, 2019 in Probability 3.3k views
2 answers
20
A fair dice (with faces numbered $1, . . . , 6$) is independently rolled repeatedly. Let $X$ denote the number of rolls till an even number is seen and let $Y$ denote the number of rolls till $3$ is seen. Evaluate $E(Y |X = 2)$. $6\frac{5}{6}$ $6$ $5\frac{1}{2}$ $6\frac{1}{3}$ $5\frac{2}{3}$
commented Mar 23, 2019 in Probability 1.7k views
3 answers
21
Assume that you are flipping a fair coin, i.e. probability of heads or tails is equal. Then the expected number of coin flips required to obtain two consecutive heads for the first time is. $4$ $3$ $6$ $10$ $5$
commented Mar 22, 2019 in Probability 2.3k views
1 answer
22
Can someone show how we can systematically come up with regular expression for language not containing string 101 on alphabet {0,1} by first creating DFA and then converting it to regular expression?
commented Mar 13, 2019 in Theory of Computation 1.5k views
0 answers
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0 answers
24
Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives. 1)Nobody is writing gate can manage to write gate 2)Anyone is not writing gate can manage to write gate 3)Everybody writing gate can not manage to write gate
commented Mar 11, 2019 in Mathematical Logic 55 views
0 answers
25
Given that B(x) means "x is a bear" F(x) means "x is a fish" and E(x,y) means "x eats y" What is the best English translation of $\forall x [F(x)\rightarrow \forall y(E(y,x)\rightarrow B(y))]$ A) All fish eat bears B) Every bears can eat fish C) Only bears eat fish D) Bears eat only fish
commented Mar 11, 2019 in Mathematical Logic 141 views
1 answer
26
Which of the following is the best English translation for All humans eat alligator Alligator eats only human Every Alligator Eats Human Only Alligator eats Human
answered Mar 11, 2019 in Mathematical Logic 112 views
1 answer
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1 answer
28
In a database file structure, the search key field is 9 bytes long, the block size is 1024 bytes, a record pointer is 7 bytes and a block pointer is 6 bytes. The largest possible order of a leaf node in a B+ tree implementing this file structure is
commented Mar 8, 2019 in Databases 355 views
1 answer
29
1. Every complemented lattice is distributed 2. Every Distributed lattice is complemented 3.Every Distributive lattice is bounded 4 .Every complemented lattice is bounded True or false
commented Mar 8, 2019 in Mathematical Logic 60 views
1 answer
30
answered Mar 7, 2019 in Set Theory & Algebra 44 views
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