In RSA, given that the primes p and q are approximately the same size, approximately how big is o(n) compared to n?

Q: 1. Find the big-theta of 5n^2 log n +3n^3 2. Find the c and n when 2^n +3n^2 is O(2^n) 3. Find c…

A: In this question, we have to find out the values of c and n for given functions and also find out…

Q: rove that in a bit string, the string 10 occurs at most one more time than the string 01.

A: Let Σ* be the set of all strings over the alphabet Σ. Let P(w) be the proposition "in the bit string…

Q: 6) What are the values of these sums, where S = {8, 10, 14, 20, 21, 24, 29}? %3D 2 a ) Σκes k b)…

A: 6) Given, S = { 8, 10, 14, 20, 21, 24, 29 } a)       Σ k ∈ S k =   8 + 10 + 14 + 20 + 21 + 24 + 29 =…

Q: One yottabyte is equal to?

A: One yottabyte is equal to 1,000 zettabytes. In other words, it consists of one trillion times one…

Q: Given an integer N which has odd number of digits, find whether the given number is a balanced or…

A: #include <bits/stdc++.h>using namespace std;  // } Driver Code Ends//User function template…

Q: Using the definition of 2, prove 2000n100 [Hint: 2(f(n))={g(n)| 3 c, no ● Vn > no • g(n) > c f(n)} ]

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Q: Find the base Let m=(313), and n=(322)4. 4 expansion of m+n. A (635)4 B (32312)4 C (21323) 4

A: This question can be solved by as first converting both the number in decimal system and then…

Q: Demonstrate that n! equals O (nn).

A: According to the information given:- We have to prove n!=O(nn)

Q: In RSA: a. Given n = 221 and e = 5, find d. b. Given n =3937 and e =17, find d. c. Given p = 19, q =…

A: Here, we are going to find out the values as per given question. In RSA, as we know that We have to…

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: Let the integer is x. This integer is the smallest integer must be greater than 100 which is…

Q: Explain CHINESE REMAINDER THEOREM with example x = 2( mod 3) x = 3 (mod 5) x = 2(mod 7).

A: Step 1  The answer is given in the below step

Q: 5. Prove that (p → r) ^ (q → r) = (p V q) → r using a truth table

A: We are given a proposition for which we need to prove given 2 statements are equivalent. We will use…

Q: QUANTIFICATION  True or False  (FOR ALL y) (FOR SOME x), with x and y as integers: x.y = 5.

A:

Q: not be a factor of N?

A: According to the information given:- We have to find out the correct option that will not a factor…

Q: In RSA, given that the primes p and q are approximately the same size, approximately how big is p(n)…

A: The answer is

Q: : a. [(a mod n) - (b mod n)] mod n = (a - b) mod n

A:

Q: Give answer in python language Program to find the sum of series: 1 + x^2/2 + x^3/3 + … x^n/n

A: Given, We have to write a program to calculate the sum of the given series. Series = 1 + x^2/2 +…

Q: In RSA, given that the primes p and q are approximately the samesize, approximately how big is φ(n)…

A: φ(n)  is calculated for generating a private key. The encryption strength depends on the length of…

Q: Given F (A,B,C) = n(4,5,6), find F' (complement of F) in Maxterms format. %3D Ο π( 4,5,6) O None T(0…

A: F = π(4, 5,6)

Q: For all integers a,b,c if a|b and a|c then a|(b+c)

A:

Q: pen if we erode

A: (a) Erosion is one of the two basic operators in the area of mathematical morphology ,the other…

Q: - Find the closed form for the following series: a) 1+2 +3 + 5 + ... + n b) 1+ x2 + x3 + + x" where…

A:

Q: 2. Show that if n is less than 31, then xn can be shown to be in POLYNOMIAL in fewer than eight…

A: 3 rules of POLYNOMIAL RULE 1: Any number is in POLYNOMIAL RULE 2: The variable x is in POLYNOMIAL…

Q: For the given k map, the simplified equation can be written as CD 00 01 11 10 AB 00 01 11 1. 10

A: Karnaugh presented a simple approach for simplification of Boolean functions. The Karnaugh map…

Q: 1 the correlation b/w the two sequences x[n] and y[n] given b x[k] = [31 2] y[k] = [3

A: X/Y 3 1 2 1 3 1 2 2 6 2 4 3 9 3 6     3,7,13,7,6

Q: 12. Show that, if c is a positive real number, then g(n) = 1+c+c² + +c" is: с (a) (e") if c> 1. (b)…

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Q: Compute the first four partial sums S1, .., S4 for the series having n th term a, starting with n =…

A: - We have to get the partial sums of the values created from the equation. - The equation for values…

Q: Based on the master theorem, what is the solution to T (n) = 16 (7) + n ○e (n³) e (n² log n) ○e (¹)…

A: Answer is:  Θ(n2)     The running time of divide and conquer algorithms may be calculated using the…

Q: In RSA, given that the primes p and q are approximately the same how big is $(n) compared to n?…

A: Answer In RSA, we have: n = p*q [where p and q are prime number] ϕ (n) = (p-1)* (q-1) In RSA, the…

Q: Suppose N is an RSA modulus, and x^2 ≡N y^2, but x≡N ±y. Show how to efficiently factor N when such…

A: RSA is the most far and wide and utilized public key calculation. Its security depends on the…

Q: Given a sequence x(n), n from 0 to 3, where x(0)=-2,x(1)=4, x(2)=0 and X(3)= Evalute its DFT X(K)

A: DFT OF THE GIVEN SEQUENCE   X(K) 7  -2 + 1j  -11 + 0j -2 - 1j

Q: 3. For the RSA algorithm with a large n, explain why Bob can calculate d from n, but Eve cannot.

A:

Q: identify the next sequence of the given.  1,16,81,256,625,__

A: In given series, we have to identify the next term. First, we have to find out the pattern of given…

Q: The following data shows the results for 20 students in one of the post graduate unit.42 66 67 71 78…

A: Given data: 42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53 Sorted data: 42 53 54 61 61…

Q: given n distinct numbers, how many sums of 4 numbers is greater than 0?

A: Given an integer N, a  task is to find N distinct integers whose sum is N. If there is more than one…

Q: Q1. Rank the following functions by asymptotic growth from the slowest growing to the fastest…

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Q: 1. Prove the following 100n +5 = O(n) 1000n2 +100n -6 = O(n²)

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Q: Fibonacci principle states that: If we let Xn be the nth integer of the sequence, then the next…

A:

Q: There is two odd integers n and m such that n2 - m2 -1 is odd.

A: Introduction

Q: Consider the picture Consider the picture Determine the values of Tk(k=1,…,9) knowing that Tk is…

A: Below is the code in c++ as language not mentioned and output:

Q: The algebraic minterm for F(A,B,C) = AB + BC is: O A+C O none of these O ABC + ABC + A'BC O ABC +…

A: The above question is to find min terms for the given Boolean expression in which it is in the form…

Q: Description inverse cosine of x (in radians ceiling of x (rounds up) exponential of x (base e)…

A: Description: inverse of cosine of x (in radians) Function in <math> header:…

Q: . For the RSA algorithm with a large n, explain why Bob can calculated from n, but Eve cannot.

A:

Q: (a) for any integers n a and m : if both n and m are odd, thenn – m² is even

A: a) Given, For any integers n and m : if both n and m are odd, then n - m 2 is even. The proof…

Q: n log2n - 2n <= log2 n! <= n log2n - n

A: Given :- In the above question, a sequence or relation is mention in the above given question   Need…

Q: Compute the sum E {1 / (i²-1) : 2 sisn}. Compute the sum E {1 / (i(i+1)(i+2)) : 1 <is n}.

A: NOTE : THE SUM OF THE EXPRESSION HAS BEEN COMPUTED USING C++ AS THE PROGRAMMING LANGUAGE. SOURCE…

Q: Express the following functions as sum of minterms and product of maxterms: (a) F(A, B, C, D) = BD+…

A: Requirements :-

Q: 1. Prove that n? +1 > 2n, where n is a positive integer with 1 <n< 4.

A: As i have read guidelines i can provide answer of only 1 part of questions in case of multiple…

Q: 2. Construct a truth table for ((p → q) → r) → s and (p → q)¤(~p→ ~r)

A: solution for the given question is solved in step2 and step3