Recall the naïve divide and conquer O(n2)-time multiplication algorithm, call it NaiveD&Cmult, to multiply two n-digit numbers. Design a 8-bit multiplier using NaiveD&Cmult algorithm with basic building blocks of 1-bit multiplier and m-bit adders and shifters, m>0. Note that in class we did not consider the cases when n is not a power of two, you may have to modify the algorithm to take care of these cases. Also, we discussed algorithm using decimal digits, obviously it can be easily extended to any radix, so for this problem radix is 2.

Answer: I have done code and also I have attached code and code screenshot as well as output

Answered: Recall the naïve divide and conquer…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Now suppose that you are given two unsorted arrays A and B, containing m and n elements respectively. You are also given a black box O(n) selection algorithm SEL that can be called on A and B separately and, in addition, a small number (say, ten) of extra memory words that can be used to store some extra data. Using SEL as a subroutine, design an O(n + m) algorithm for finding the kth smallest element in the combined set of O(m + n) elements. You may not merge the two arrays in another array and call an algorithm (either SEL or something you wrote) on this third array. This is because there is no extra memory available to build this third array.
Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python or java. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Hint: Use inversion index nlogn approach Output Format The output consists of one line containing an integer indicating the number of quantum blasts per second that Butz must fire at Swapper to prevent him from sorting the books in the worst-case scenario (best case for Swapper). If this number is not a whole number, just to prevent Swapper from ever succeeding, round up to the nearest whole number. If it is impossible for Butz to stop Swapper from restoring order to the shelf, print "Butz loses!" without quotes. Sample Input 0 4 34 1 3 2 Sample Output 0 2 Sample Input 1 5 32 4 0 3 1 Sample Output 1 1 Sample Input 2 6 55 0 1 2 4 3 Sample Output 2 1 The actual code in Python def solve(books,n,s): # TODO: Compute and print…
Now suppose that you are given two unsorted arrays A and B, con-taining m and n elements respectively. You are also given a blackbox O(n) selection algorithm SEL that can be called on A and Bseparately and, in addition, a small number (say, ten) of extra mem-ory words that can be used to store some extra data. Using SELas a subroutine, design an O(n + m) algorithm for finding the kthsmallest element in the combined set of O(m + n) elements.You may not merge the two arrays in another array and call an algo-rithm (either SEL or something you wrote) on this third array. Thisis because there is no extra memory available to build this third array.

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