Compute the value of the following modular expression using modulo reduction. Your answer must be a...
Compute the value of the following modular expression using modulo reduction. Your answer must be a specific mod 13 number, not a formula or expression of any kind. Show your work. 7^(17) mod 13 =
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Compute the value of the following modular expression using
modulo reduction. Your answer must be a...
Problem 1. Simplify the following using modular exponentiation. This is the same kind of problem ...
Problem 1. Simplify the following using modular exponentiation. This is the same kind of problem as one on the previous homework. But this time I want you to do them using your calculators, as I showed you how to do in class. The point is to If you don't notice a big improvement in how smoothly and quickly you work, then make up some more random problems like this and do them. The book also has some too. (a) 17463...
Answer the following questions using modular arithmetic a) Determine if 5201,001 −2 is divisible by 3....
Answer the following questions using modular arithmetic a) Determine if 5201,001 −2 is divisible by 3. b) Determine all of the zeros of the polynomial p(x) = x2 + x mod6. c) Show that if a2 + b2 = c2, then a ≡ 0,2 mod 4 or b ≡ 0,2 mod 4
Please answer question 3 Find all (infinitely many) solutions of the system of congruence's: Use Fermata...
Please answer question 3
Find all (infinitely many) solutions of the system of congruence's: Use Fermata little theorem to find 8^223 mod 11. (You are not allowed to use modular exponentiation.) Show that if p f a, then a^y-2 is an inverse of a modulo p. Use this observation to compute an inverse 2 modulo 7. What is the decryption function for an affine cipher if the encryption function is 13x + 17 (mod 26)? Encode and then decode the...
G-2 is a primitive root modulo 19. Use the following table to assist you in the solution of the f...
g-2 is a primitive root modulo 19. Use the following table to assist you in the solution of the first two questions and 4(a). The most efficient solutions involve the use of the table and the application of theory; numerically correct solutions involving long computations will not receive full credit t1 2 3 4 567 89 10 11 12 13 14 151617 18 g 2 481613714918 17 15 11 36125101 Question 1. (a) Find the least positive residue of 126...
Discrete Mathematics - RSA Algorithm and Mod These are problems concerning the RSA algorithm and Modulo. A. In RSA, suppose bob chooses p = 3 and q = 43. Determine one correct value of the public expo...
Discrete Mathematics - RSA Algorithm and Mod These are problems concerning the RSA algorithm and Modulo. A. In RSA, suppose bob chooses p = 3 and q = 43. Determine one correct value of the public exponent e, your choice should be the smallest positive integer that is greater than 1. Justify your answer. B. For the e's value you chose above, compute the corresponding secret exponent d. Show your work. C. Compute 540Mod13 D. Compute 5-1Mod11
1. Compute following based on chart (show your work) a. Compute Present Value Future value Years...
1. Compute following based on chart (show your work) a. Compute Present Value Future value Years Interest Rate $498 7 13% b. Compute Future Value Present Value Years Interest Rate $123 13 13% c. Compute time period (Years) Present Value Future Value Interest Rate $100 $348 12% d. Compute the effective annual rate (EAR) APR Stated Rate Number of times compounded Effective Rate 5% Semiannually ?
g 2 is a primitive root modulo 19. Use the following table to assist you in...
g 2 is a primitive root modulo 19. Use the following table to assist you in the solution of the first two questions and 4(a). The most efficient solutions involve the use of the table and the application of theory; numerically correct solutions involving long computations will not receive full credit t 1234567 8 9 10 11 12 13 14 15 16 1718 2 48 16 13 7 149 18 1715 11 3 6 12 5 10 1 (a) Find...
1. For each of the following, compute the Future Value. Show your work. Present Value Years...
1. For each of the following, compute the Future Value. Show your work. Present Value Years Interest Rate Future Value 2,175 12 13% 6,850 7 10% 81,350 14 12% 195,050 10 8% 2. For each of the following compute the Present Value. Show your work % 2. For each of the following, compute the Present Value. Show your work Present Value Years Interest Rate Future Value 13 10% 15,500 4 8% 51,555 29 24% 886,072 40 35% 550.165 CEO DOO
(30 Points) Please compute the following postfix expression using stack as shown in your textbook (page...
(30 Points) Please compute the following postfix expression using stack as shown in your textbook (page 106-107). For every scan, you need to show your stack and indicate the top and bottom of the stack. 3. 3 7+2/2-48* +10+ (30 Points) Please convert the following infix expression to postfix expression using stack as shown in your textbook (page 109-110). For every scan, you need to show your stack and output. Also indicate the top and bottom of the stack. 4.
any Find the following values. Provide a proof that your answers are correct. (A) Compute 4"...
any Find the following values. Provide a proof that your answers are correct. (A) Compute 4" mod 13 for n=1,2,...,6. (B) What is the value of 161200000000000000000007 mod 13? is for n = 12.6
Problem 1. Simplify the following using modular exponentiation. This is the same kind of problem as one on the previous homework. But this time I want you to do them using your calculators, as I showed you how to do in class. The point is to If you don't notice a big improvement in how smoothly and quickly you work, then make up some more random problems like this and do them. The book also has some too. (a) 17463...
Please answer question 3
Find all (infinitely many) solutions of the system of congruence's: Use Fermata little theorem to find 8^223 mod 11. (You are not allowed to use modular exponentiation.) Show that if p f a, then a^y-2 is an inverse of a modulo p. Use this observation to compute an inverse 2 modulo 7. What is the decryption function for an affine cipher if the encryption function is 13x + 17 (mod 26)? Encode and then decode the...
g-2 is a primitive root modulo 19. Use the following table to assist you in the solution of the first two questions and 4(a). The most efficient solutions involve the use of the table and the application of theory; numerically correct solutions involving long computations will not receive full credit t1 2 3 4 567 89 10 11 12 13 14 151617 18 g 2 481613714918 17 15 11 36125101 Question 1. (a) Find the least positive residue of 126...
g 2 is a primitive root modulo 19. Use the following table to assist you in the solution of the first two questions and 4(a). The most efficient solutions involve the use of the table and the application of theory; numerically correct solutions involving long computations will not receive full credit t 1234567 8 9 10 11 12 13 14 15 16 1718 2 48 16 13 7 149 18 1715 11 3 6 12 5 10 1 (a) Find...
1. For each of the following, compute the Future Value. Show your work. Present Value Years Interest Rate Future Value 2,175 12 13% 6,850 7 10% 81,350 14 12% 195,050 10 8% 2. For each of the following compute the Present Value. Show your work % 2. For each of the following, compute the Present Value. Show your work Present Value Years Interest Rate Future Value 13 10% 15,500 4 8% 51,555 29 24% 886,072 40 35% 550.165 CEO DOO
(30 Points) Please compute the following postfix expression using stack as shown in your textbook (page 106-107). For every scan, you need to show your stack and indicate the top and bottom of the stack. 3. 3 7+2/2-48* +10+ (30 Points) Please convert the following infix expression to postfix expression using stack as shown in your textbook (page 109-110). For every scan, you need to show your stack and output. Also indicate the top and bottom of the stack. 4.
any Find the following values. Provide a proof that your answers are correct. (A) Compute 4" mod 13 for n=1,2,...,6. (B) What is the value of 161200000000000000000007 mod 13? is for n = 12.6
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