Explain why the order of magnitude or Big-O notation is only concerned with what happens when N is large or why it is only important for large values of N.
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Explain why the order of magnitude or Big-O notation is only concerned with what happens when N is large or why it is only important for large values of N.
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- The Problem A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three. Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry. Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers. Zeck function The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete. If the parameter k is zero, return zero. If the parameter k is negative, return minus 1. If the parameter k is too large to calculate, return minus 1. Fib function The other function,…Design an algorithm for computing for any positive integer n. Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations.Answer the following questions using the simplest possible Θ notation. Assume that f(n) is Θ(1) for constant values of n.
- Define R Square?Computer Science Perform the given polynomial arithmetic in GF (23) modulo the given polynomial e.g. (x3 + x2 + 1): For example: 011 + 011 or 111 * 111 etc.Give a table of the values of CN defined by the following formula for N ≥ 1:CN = CN/2 +1 for N ≥ 2 with C1 = 1 Answer question 6, but take N/2 to mean ⌈ N/2⌉.
- Using the digits 1, 2, 3, 5, 6, 7, 8 and 9, how many three-digit numbers can be made. three-digit numbers can be made without repeating digits. five-digit numbers can be made. five-digit numbers can be made without repeating digits.the value of factor(P/F,i,10) can be found by getting the factor values for(P/F,i,4) and(P/f,i,6)and adding it toThe Famous Gauss You must know about Gauss, the famous mathematician. Back in late 1700’s, he was at elementary school. Gauss was asked to find the sum of the numbers from 1 to 100. The question was assigned as “busy work” by the teacher. He amazed his teacher with how quickly he found the sum of the integers from 1 to 100 to be 5050. Gauss recognized he had fifty pairs of numbers when he added the first and last number in the series, the second and second-last number in the series, and so on. For example:(1 + 100), (2 + 99), (3 + 98), ..., (50 + 51). Each pair has a sum of 101 and there are 50 pairs. History repeats itself. Jojo’s teacher assign a “busy work” to the students. The teacher believes that there will be no shortcut to finish this task in a minute. The teacher gives N integers A1, A2, ..., AN to the students. The teacher also gives Q questions. Each question contains two integers L and R asking the sum of all Ai where L <= Ai <= R. As a good friend of Jojo, help Jojo…
- Explain briefly how the weighted approach may be used to convert decimal to ternary in a ternary environment.Number Bases taught in SHS1 has always been an area of difficulty for most student because the concepts and skills are taught in abstract. Show how you will use bottle tops to teach your students to convert 27 to a binary numeral.Determine T(n) in terms of a Big Theta notation for the following cases. Use expansion method: T(n) = T(n /4) + (n/4) T(1) = 1