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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
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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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...bibo)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...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?
Transcribed Image Text: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...bibo)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...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?
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