Write a C++ program using classes and recursion functions to convert a number in a given base (the user entersthe base - from 2 to 9) to a decimal number. The algorithm states that each successive digit in the number ismultiplied by the base raised to the power corresponding to its position in the number. The low-order digit is inposition 0. We sum together all of these products to get the decimal value.For example, in binary – base 2, if we have the binary number 111001, we convert it to decimal as follows:1x 25+1x 24+1x23+0x2²+0x 21+1x 2º=57For a base 5 number, 14230:1x54+4x53+2x52+3x51+0 x 50=1190Validate your input. You should check for invalid digits and provide an informative error message to the user.This program requires you to use a recursive function for the conversion to decimal. Failure to do that willresult in no points awarded.

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Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Write a recursive implementation of Euclid’s algorithm for finding the greatest common divisor (GCD) of two integers. Descriptions of this algorithm are available in algebra books and on the Web. Write a test program that calls your GCD procedure five times, using the following pairs of integers: (5,20), (24,18), (11,7), (432,226), (26,13). After each procedure call, display the GCD.
Write a C++ program to find the multiplication of two matrices. We can multiply two matrices if the number of columns in first matrix is equal to the number of rows in second matrix. The size of multiplication matrix is: row of first matrix X column of second matrix. You can follow the algorithm to write the code: matrixMultiply(A, B): Assume dimension of A is (m x n), dimension of B is (p x q) Begin if n is not same as p, then exit otherwise define C matrix as (m x q) for i in range 0 to m - 1, do for j in range 0 to q – 1, do for k in range 0 to p, do C[i, j] = C[i, j] + (A[i, k] * A[k, j]) done done done End Sample Input: Enter the rows and columns of first matrix: 3 4 Enter the rows and columns of second matrix: 3 4 Sample Output Can not be multiplied. Enter the rows and columns of first matrix: 2 3 Enter the rows and columns of second matrix: 3 2 Enter first matrix: 1 2 3 4 5 6 Enter second matrix: 7 8…
CS211 Non-recursive solution for Towers of Hanoi Using the algorithm discussed in class, write an iterative program to solve the Towers of Hanoi problem. The problem: You are given three towers a, b, and c. We start with n rings on tower a and we need to transfer them to tower b subject to the following restrictions: 1. We can only move one ring at a time, and 2. We may never put a larger numbered ring on top of a smaller numbered one. There are always 3 towers. Your program will prompt the user for the number of rings. Here is the algorithm. Definition: A ring is "available" if it is on the top of one of the towers. Definition: The "candidate" is the smallest available ring that has not been moved on the most recent move. The first candidate is ring 1. The Algorithm: 1. Find the candidate. 2. Move the candidate (right or left, depending if the number of rings is odd or even) to the closest tower on which it can be placed. Move "around the circle" if necessary. 3. If not done, go back…
Write a C program that takes a positive integer N from the user as input. If the user inputs a number that is 0 or negative the program should continue to ask the user for a valid input. It then calculaten the sum of integers from 1 to N using recursion. Then, print the sum of integers from 1 to N to screen
Which is the base case of the following recursion function: def mult3(n): if n == 1: return 3 else: return mult3(n-1) + 3 else n == 1 mult3(n) return mult3(n-1) + 3
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Write a C++ program using classes and recursion functions to covert a number in a given base (the user enters the base - from 2 to 9) to a decimal number. The algorithm states that each successive digit in the number is multiplied by the base raised to the power corresponding to its position in the number. The low-order digit is in position 0. We sum together all of these products to get the decimal value. For example, in binary- base 2, if we have the binary number 111001, we convert it to decimal as follows: 1x25 + 1x2* + 1x2³ + 0x2²+ 0x2² + 1x2º = 57 For a base 5 number, 14230: 1x5 + 4x53 + 2x52 + 3x5+ Ox5° = 1190 Validate your input. You should check for invalid digits and provide an informative error message to the user. This program requires you to use a recursive function for the conversion to decimal. Failure to do that will result in no points awarded.
Give a recursive definition for the set of all strings of a’s and b’s that begins with an a and ends in a b. Say, S = { ab, aab, abb, aaab, aabb, abbb, abab..} Let S be the set of all strings of a’s and b’s that begins with a and ends in a b. The recursive definition is as follows – Base:... Recursion: If u ∈ S, then... Restriction: There are no elements of S other than those obtained from the base and recursion of S.
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