ALGORITHM 2 Addition of Integers. procedure add(a, b: positive integers) (the binary expansions of a and b are (an-1an-2...a₁a0)2 and (bn-bn-2...bybo)2, respectively) c:=0 for j = 0 ton-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...S0)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-1an-2...a₁a0)2 and (bn-bn-2...bybo)2, respectively) c:=0 for j = 0 ton-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...S0)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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