consider the following table Classes |Frequency 25-29 30-34 15-19 1 20-24 35-39 12 10 10 Find the Mod by using an approximate method.

Q: (7) (a) Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

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Q: The notation x = y mod n is used to indicate the unique integer x in the range 0 :$ x < n such…

A: Given statement is that the notation x = y mod n is used to indicate the unique integer x in the…

Q: 43 1040 Determine the length of the pre-period and the length of the period for the decimal…

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Q: The sign indicator s of a 64-bit machine number is 1 while its characteristic c is 1041 and the…

A: Decimal equivalent form is as follows. -1s2c-10231+f s is the sign indicator c is the characteristic…

Q: Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71). Find an integer c…

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Q: Apply the euler function if possible. 1212450(mod221) 1. 51211(тоd7) 2. 71350(mod12) 3.

A: By the Fermat's Little theorem: Let P is a prime number then for any integer a,  a∅p≡1modp Now,…

Q: 3. Show that ifn = 2 (mod 4), then 9" + 8" is divisible by 5.

A: Here we will prove the given statement.

Q: If x98 = 1(mod 97) then possible value of x is of (a) 97 (b) 194 (c) 90 (d) 291 (е) None of these O…

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Q: Find x such that 1577 =x (mod11), 0sx<11. You must show all the detailed steps

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Q: x=[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] x61=7 mod15 find x in range

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Q: Q3 Not submitted Section 4.1 # 14 Show that if a, b, and e are integers with e > 0 such that a = b…

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Q: The figure shows a mod clock, which is a special function machine. For any positive whole number…

A: First, we try and understand the working of the mod clock.Let a be any input. Then, a can be written…

Q: One of the one-way functions used in public key cryptography is the discrete logarithm. Computing…

A: We have to find the smallest positive integer e such that r ≡ ge mod p.

Q: Determine the classification of error when a mod- eler uses a numerical optimization technique in…

A: Follow the steps.

Q: 4. Let the function g be given by Oniseven 9(n) n =1 (mod 4). n =3 (mod 4) 1 %3D 1

A: This is a question from Number Theory.

Q: 2. Make a table for each of and ®: 1 3 1 4 1 2 3 4 4 3. 2. 4. 2. 1. 2. 3.

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Q: Apply the Fast Modular Exponentiation to find 0 ≤M <7, where 315 EM mod 7.

A: Note that, we can write 315 = 32×5×7. Therefore we get that 7 divides 315.

Q: 2. Let f: Z-Z be given by the following rule: x+6 x=0 x = 1 x+8 x 2 f(x)=x+5 (mod 3) (mod 3) (mod 3)…

A: The given function is, fx=x+6x≡0 mod3x+5x≡1 mod3x+8x≡2 mod3 To Find: (a) Example to show that f is…

Q: The lower boundary of modal class with size 15 is 40.The frequency of this class is 7. Find the mode…

A: Size of class is 15, and lower boundary is 40.

Q: 1. Use the Pohlig-Hellman algorithm to compute the discrete logarithm x for 23 87 mod 421. 2. Use…

A: Given: Discrete algorithm can be given as 23x=87 mod 421 2x=208 mod 421

Q: Prove that xk = x* mod |G| for x € G for any integer k.

A: Prove it considering two cases.

Q: For any integer a, a37 = ? mod 1729

A: Option b is correct answer

Q: Consider Z₁1 = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Part A. Denote by +11 the operation "addition…

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Q: 2. Show that 1184 – 534 is divisible by 7. -

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Q: 1. i) Explain why 3 is a primitive root modulo 14 ii) What is log3(11) mod 14?

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Q: Let S be the set of all strings in a's and b's and let L: S- Z be the length function: For all…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.