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a. Following pseudocode on slide # 30, implement a function to perform binary a The function takes two integers as inputs, and returns the binary representation. numbers as a string. Note that the addition has to be performed using the binar two integers, meaning you can not do '5+8= 13' then return the binary represen following pairs to test your code: (24,98), (2387482,1), (25,25) Binary Addition of Integ

a. Following pseudocode on slide # 30, implement a function to perform binary a The function takes two integers as inputs, and returns the binary representation. numbers as a string. Note that the addition has to be performed using the binar two integers, meaning you can not do '5+8= 13' then return the binary represen following pairs to test your code: (24,98), (2387482,1), (25,25) Binary Addition of Integ

Database System Concepts
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
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a. Following pseudocode on slide #30, implement a function to perform binary addition. The function takes two integers as inputs, and returns the binary representation of the sum of the two numbers as a string. Note that the addition has to be performed using the binary representations of the two integers, meaning you can not do '5+8 = 13' then return the binary representation of 13. Use the following pairs to test your code: (24,98), (2387482,1), (25,25) Binary Addition of Integers Algorithms for performing operations with integers using their binary expansions are important as computer chips work with binary numbers. Each digit is called a bit. procedure add(a, b: positive integers) {the binary expansions of a and b are (a-19-2.a) and (b-1b-2²b)₂ respectively} n-2' n-2' C:=0 for j:= 0 to n-1 d:= := [(a₁ + b₁ + c)/2] s, := a₁ +b+c=2d c:= d S := C return(s,S₁,...,s){the binary expansion of the sum is (SS-₁,5)₂} The number of additions of bits used by the algorithm to add two n-bit integers is O(n).
Transcribed Image Text:a. Following pseudocode on slide #30, implement a function to perform binary addition. The function takes two integers as inputs, and returns the binary representation of the sum of the two numbers as a string. Note that the addition has to be performed using the binary representations of the two integers, meaning you can not do '5+8 = 13' then return the binary representation of 13. Use the following pairs to test your code: (24,98), (2387482,1), (25,25) Binary Addition of Integers Algorithms for performing operations with integers using their binary expansions are important as computer chips work with binary numbers. Each digit is called a bit. procedure add(a, b: positive integers) {the binary expansions of a and b are (a-19-2.a) and (b-1b-2²b)₂ respectively} n-2' n-2' C:=0 for j:= 0 to n-1 d:= := [(a₁ + b₁ + c)/2] s, := a₁ +b+c=2d c:= d S := C return(s,S₁,...,s){the binary expansion of the sum is (SS-₁,5)₂} The number of additions of bits used by the algorithm to add two n-bit integers is O(n).
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