Perform the following congruence computations. Make sure that the number you enter is > 0 and < N-1, where N is the modulus of the congruence. (mod 48) (mod 49) -777 = 795 * 850 (mod 54) 050 + 2231 = 331585 7608 = 51330+ 99 (80306569) * 9259 146 = =2364 = (mod 51) (mod 53)

Q: 99999 9999 =9 (mod 10) Select one: True False

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Q: 1. Homework. Use the Arithmetic Modular operations to find 55552222 mod 7. Hint: 5555 = 4 (mod 7).

A: Details are attached in step 2.

Q: Use Fermat's Little Theorem to find each value. Remember, x-1) =1 (mod p). Write your answer in…

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Q: Find the value of 592 (mod 11) using Fermat's Little Theorem. Remember, x (P-1) = 1 (mod p) a 592 =…

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Q: "divisionless mod" where x mod y is computed in steps. One step is to use xhi, xlo, a and b to…

A: xhi =14 , xlo  =4 , a=5 and b=3 To compute x mod y.

Q: solve the congruence 2²-7x+6=0(mod3³.7³)

A: Given congruence: Objective: Solve the congruence equation and find the solutions for  modulo .

Q: Solve the con Congruence 1x²=6 (mod17)

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Q: Perform the following congruence computations. Make sure that the number you enter is ≥ 0 and ≤ N-1,…

A: Since you have asked a question with multiple  subparts so as per guidelines  we will  solve the…

Q: congruences 4* = 13 (mod_17) and 54 (mod 19).

A: Given congruences are: 4x≡13mod 175x≡4mod 19 We have to solve the given exponential congruences.

Q: Show that 127 = -16(mod 13) and show that 300 = 1(mod 13).

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Q: Find 8081 mod 11.

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Q: What is the largest value that m mod n can be?

A: Largest value of m mod n is n-1.

Q: If m = 2* is a power of 2, explain how you could use repeated squaring to compute am (mod n) for all…

A: a) We have m = 2k. First we illustrate the method of repeated squaring to compute am (mod n). Then…

Q: Show that every nonzero residue (mod 17) can be written as a power of 3

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Q: (a) Show that, for any odd prime p > 5, 1 if p = 1, –5 (mod 12) (주) -1 if p= -1,5 (mod 12)

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Q: -3x = 4{mod8}

A: 3x = 4 (mod 8)  We have to find all integral value of x.

Q: Find the inverse s of -1959 modulo 979 such that 0 <s< 979

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Q: how do i use Euler's thm to find the value? 3242 mod 385

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Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

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Q: Perform the following congruence computations. Make sure that the number you enter is 20 and ≤N-1,…

A: (a) 5946+7925≡        mod 45⇒13871≡        mod 454530813871-13500371-360011∴5946+7925≡  11      mod…

Q: If you multiply n whole numbers (even or odd) when is the answer odd? Translate into multiplication…

A: If we multiply whole numbers, the pattern is as follows: Even × Even=Even Even × Odd=Even Odd ×…

Q: Find the smallest positive integer x that solves the congruence: 16x = 5 (mod 83 ). Show all steps…

A: We are given that        16x ≡ 5 (mod 83)   Multiplying both sides by 5, we get       5×16x ≡ 5×5…

Q: Solve the following congruences. Make sure that the number you enter is ≥ 0 and ≤ N-1, where N is…

A:

Q: Solve x21 ≡ 6 mod 7

A: If p is a prime number then xp-1≡1(mod p) for all x∈ℤ~pk  where pk denotes multiples of p . Suppose…

Q: (a) Find all solutions r to the congruence 341x = 16 mod 912

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Perform the following congruence computations. Make sure that the number you enter is ≥ 0 and ≤ N-1,…

A:

Q: Solve the equation 5x = 13 (mod 18)

A: Given: To solve: the equation 5x4≡13mod 18Formula: a≡bmod cis equivalent to saying by Euclid's…

Q: 9999 =9 (mod 10) Select one: O True O False

A: Any number with 9 in ones place when multiplied with itself will give 1 in ones place and when it is…

Q: Find all solutions of the congmonce 12X = 3 (mod 45)

A: The given problem is to find the all solutions for the given congruence equation.Given congruence…

Q: Find an integer A so that: A79 = 7 (mod 277) Please solve step by step thanks!

A: Given an equation. Let's solve for A.

Q: Perform the following congruence computations. Make sure that the number you enter is > 0 and < N –…

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Q: If a = 1 (mod n) and b = 1 (mod n) then a - b = 0 (mod n) اختر واحدا: 2 3

A: True.

Q: (d) 357 862 193 = (mod 943). (e) 5327 6135 7139 2187 5219 . 1873 = (mod 8157). (Hint. After each…

A: ...

Q: ie/False: The numbers 252 and –108 are congruent modulo 15. True False

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Q: Compute 9 x 10999,999,999,999,999,999 (mod 13).

A: To Compute: 9×10999,999,999,999,999,999 (mod 13)

Q: Show that every nonzero residue (mod 17) can be written as a power of 3.

A: We show that every non zero residue(mod 17) can be written as power of 3.

Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

A: