Find integer x such that 3*x = 1 (mod 23).
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Find integer x such that 3*x = 1 (mod 23).
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- only if?3. Let A = {1, 2, 3} and B = {4,5}. a) Find A x B b) Find B x ALet n E N be a natural number with a divisor d E N. If the sum of all of the positive divisors of n is equal to 2n + d, then we call n a near- perfect number. For example, if we have n = 12, then the divisors of n are 1, 2, 3, 4, 6 and 12. Therefore, the sum of the divisors of n is equal to 1+2+3+4+6+12=2*12+4, and 4|12. Hence, 12 is a near-perfect number. Write a function, near_perfect_number, which accepts any integer n as input, and returns True if n is a near-perfect number, and False otherwise.
- Given the following NDFSM M, the correct statements are: q0 8 b a q1 94 a b a a q2 q5 a 93 L(M) = {w € {a, b}*: w contains aaa or bab or w| is even). OL(M) = {w € {a, b}*: w contains aaa or bab or w| is odd}. L(M) = {w € {a,b}*: The 2nd to the last character of w is a or|w| is even}. L(M) = {w = {a, b}*: The 2nd to the last character of w is a or |w| is odd}.Let us assume that we only have a calculator that can calculates natural logarithm (i.e., Ln or loge). Briefly describe a method to calculate logarithms in base 2 and 10 using that calculator.For all positive numbers aaand bbwith a>ba>b, ln(a−b)=ln(a)/ln(b)ln(a−b)=ln(a)/ln(b) True or false
- Let n be an integer. If 3n+ 4 is odd, then n is odd.The density of an object is 2 g/cm3. To convert this to kg/m3, we need to divide it by 1000 to change grams to kilograms. Then, we need to multiply it by 10 to the power of what number to change cm3 to m3.= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.
- Two n-digit integers (leading zeros allowed) are considered equivalent if one is a rearrangement of the other (for example 12033, 20331 and 01332 are considered equivalent five digit integers.) a) We need to find the number of five digit integers that are not equivalent. b)We need to find the number of non equivalent five digit integers if the digits 1, 3 and 7 can appear at most once. c) When all three digits (1,3,7) appear once.find a counterexmaple.Q7. The big O bound for the following functions is T(n)= nlogn2+ nlogn OO (log(log n)) OO (nlogn) 00 (n² log n) 00 (n²)