python ## Problem 2: Multiplying Two Base 2 Numbers using an Algorithm in Python or R### Task Description:Write a program in a language of your choice (preferably Python or R) to multiply two positive integers using the following algorithm.### Algorithm to Perform Multiplication:```plaintextprocedure multiply(a, b: positive integers) {the binary expansions of a and b are (a_n-1 a_n-2 ... a1 a0)₂ and (b_n-1 b_n-2 ... b1 b0)₂, respectively} for j := 0 to n - 1 if b_j = 1 then c_j := a shifted j places else c_j := 0 {c₀, c₁, ..., c_n-1 are the partial products} p := 0 for j := 0 to n - 1 p := p + c_j return p {p is the value of ab}```### Explanation:1. **Binary Expansion**: The numbers `a` and `b` are represented in their binary formats.2. **Iterate through Digits of b**: - For each bit `b_j` of `b`: - If `b_j` is 1, then calculate the partial product `c_j` by shifting `a` left by `j` positions. - If `b_j` is 0, then the partial product `c_j` is 0.3. **Sum Partial Products**: The final product `p` is obtained by summing all the partial products `c_j`.4. **Return the Result**: The result `p` is the multiplication of `a` and `b`.### Diagrammatic Representation:Figure 2: Multiplying two base 2 numbers.This algorithm effectively leverages the properties of binary numbers to perform the multiplication by bitwise shifts and accumulation.By following this algorithm, you can implement a program to perform binary multiplication in any programming language of your choice, such as Python or R.

First, we convert the positive integers a and b to binary representations using the bin() function.…

Problem 2 Write a program in a language of your choice (preferably Python, or R). Using the following algorithm. procedure multiply(a, b: positive Integers) {the binary expansions of a and bare (an-1an-2...10) and (bn-bn-2...bibo)2, respectively) for j = 0 ton-1 if bj = 1 then c; := a shifted j places else c; := 0 (co, C1..... Cn-1 are the partial products} P:=0 for j:= 0 ton-1 P:=p+Cj return p (p is the value of ab}

Problem 2 Write a program in a language of your choice (preferably Python, or R). Using the following algorithm. procedure multiply(a, b: positive Integers) {the binary expansions of a and bare (an-1an-2...10) and (bn-bn-2...bibo)2, respectively) for j = 0 ton-1 if bj = 1 then c; := a shifted j places else c; := 0 (co, C1..... Cn-1 are the partial products} P:=0 for j:= 0 ton-1 P:=p+Cj return p (p is the value of ab}

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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