(a) Find 221 div 7. (That's the quotient.) (b) Find 221 mod 7. (That's the remainder.) (c) What does a = dq + r in the division algorithm say in this example?

Q: How do you find a 'p' and 'q' given a number n and Φ(n)? Show an e

A: Solution - In the given question, we have to show an example which find p and q when n and ∅(n) are…

Q: Write a pseudocode for an algorithm for finding real roots of equation ax2 + bx + c = 0 for…

A: Pseudo code is the artificial and informal language which helps the programmers to develop the…

Q: Simplify the following expressions by applying Boolean rules. M [ N (M+N) ]

A: Boolean rules user for simplification: 1) A(B+C) = AB+AC  //distribution  2) AA = A //idempotent 3)…

Q: Order the functions in increasing order

A: Given functions are: n2, n3, n!, nlog2n, n2, nlog10n, 3n, (log2 n)*(log2 n)

Q: Compute (44 · 47 + 12) mod 3 without a calculator.

A: Answer of the given question: First we need to calculate the sum of (44.47 +12 ) . we get 56.47  now…

Q: Answer the following questions. Give justifications and explanations when needed.  a)Show that if 6…

A: Given: Show that if 6 integers are chosen at random, at least two numbers will have the same…

Q: x is congruent to 21 mod 8. Then x is

A: Given that x is congruent to 21 mod 8 this means that: X is congruent to 21 and 8.

Q: For the sequence a₂ = 4-6. (n-1), its first term is : its second term is ; its third term is : its…

A: In this problem, we are given a sequence defined by the formula an = 4 - 6*(n-1), where 'an'…

Q: If n is an integer, what are the common divisors of n and 1? What are the common divisors of n and…

A: Divisors is the number which divide that particular number completely that means Remainder will be…

Q: Compute the log2 (50).

A: log2(50) = log2(5 × 10) = log2(5) + log2(10) = 2.3219280948874 + log2(5×2) = 2.3219280948874 +…

Q: 6- Use Fermat's little theorem to find 9934 mod 31 and 13292 mod 23 Answer one of following (7 or 8)…

A: Fermat's Little Theorem states that if "p" is a prime number and "a" is an integer not divisible by…

Q: Solve the following recursive function and describe it in terms of Big-O using expansion. T(n) =…

A:

Q: Find the inverse Laplacian

A: Now I have upload  a  solution for this question ..........

Q: How many zeroes are in the adjacency matrix in the graph shown below? A B D E O 12 15 20

A: As given, I need to find out how many zeros are present in the adjacency matrix in the given graph.…

Q: 4- if q=[1 5 6 8 3 2 459 10 11,x=[ 357 8 31 2 4 11 5 91, then: a) find elements of (q) that are…

A: Please find the answer below