Compute the last two digits to the right of (probably have to use modular arithmetic)
Compute the last two digits to the right of (probably have to use modular arithmetic)
Compute the last digit of (6012016)^20 in base 10 using only modular arithmetic (not via calculator). Justify and show each step you take.
Prove with modular arithmetic that the last digit of 9n is 1 or 9 for all positive integers n.
Question Lisiaiq a modular arithmetic Compute the following a) –3 mod 5; 9' mad 26; 2t med 9; 8t med 13 6) Find X (smallest) from 9 = 2* (med 11)
2. Use modular arithmetic rules to find out the following: Use the rule: (a*b) mod x -( (a mod x) (b mod x)) modx Find out: (97)49 mod 119 Hints: 49 can be written as: 49-32 16+1 Try finding out 97 mod 119 Then, 972 mod 119, then 974 mod 119 etc.
Discrete Mathematics. (a) Use modular arithmetic to find 1040 mod 210. Show your working. (b) An RSA cryptosystem uses public key pq = 65 and e = 7. Decrypt the ciphertext 57 9 and translate the result into letters of the alphabet to discover the message.
Discrete Mathematics. Question 2: (a) Use modular arithmetic to find 1040 mod 210. Show your working. (b) An RSA cryptosystem uses public key pq = 65 and e = 7. Decrypt the ciphertext 57 9 and translate the result into letters of the alphabet to discover the message.
Find the last two digits (i.e., tens and ones digits) of 17487
The last three digits of my student id is 183 3) (30 pts) In this problem, the last two digits of your student number will be significant. Let N, be a number equal to the last digit of your student number, N, be a number equal to the last two digits of your student number. That is, if the last three digits of your student number is 83 then, N, = 3, N2 = 83. Consider a function f(x)=cos (11...
Find the last two digits of 1232563. Show your work.
[10 marks] Assume that we have two decimal positive numbers A and B. Both numbers have n digits. We want to know what is the minimum number of swaps that we need in order to get from number A to B, where in each swap we choose two digits of a number and simply swap them For simplicity, we assume that A and B do not have the digit 0 in them, and that A and B have the set...