ALGORITHM 2 Addition of Integers. procedure add(a, b: positive integers) (the binary expansions of a and b are (an-jªn-2...a₁ª0)₂ and (bn-bn-2... b₁b0)2, respectively) c:=0 for j := 0 to n - 1 begin d := [(aj + b + c)/2] sj := a₁ +b; +c-2d c:= d end Sn := C {the binary expansion of the sum is (SnSn-1... $0)₂} Next, the number of additions of bits used by Algorithm 2 will be analyzed. How many additions of bits are required to use Algorithm 2 to add two integers with n bits (or less) in their binary representations?
ALGORITHM 2 Addition of Integers. procedure add(a, b: positive integers) (the binary expansions of a and b are (an-jªn-2...a₁ª0)₂ and (bn-bn-2... b₁b0)2, respectively) c:=0 for j := 0 to n - 1 begin d := [(aj + b + c)/2] sj := a₁ +b; +c-2d c:= d end Sn := C {the binary expansion of the sum is (SnSn-1... $0)₂} Next, the number of additions of bits used by Algorithm 2 will be analyzed. How many additions of bits are required to use Algorithm 2 to add two integers with n bits (or less) in their binary representations?
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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