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?

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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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