## Problem 1: Write a Program in a Language of Your Choice### Description:Write a program in a language of your choice (preferably Python, or R) using the following algorithm.### Algorithm:```plaintextprocedure add(a, b: positive integers){the binary expansions of a and b are (aₙ₋₁aₙ₋₂...a₁a₀)₂ and (bₙ₋₁bₙ₋₂...b₁b₀)₂, respectively} c := 0 for j := 0 to n - 1 d := [(aⱼ + bⱼ + c) / 2] sⱼ := aⱼ + bⱼ + c - 2d c := d sₙ := c return (s₀, s₁, ..., sₙ) {the binary expansion of the sum is (sₙsₙ₋₁...s₀)₂}```### Explanation:- The procedure `add(a, b)` takes two positive integers, `a` and `b`, as input.- These integers are represented in binary as sequences of bits.- The binary expansions of `a` and `b` are given as (aₙ₋₁aₙ₋₂...a₁a₀)₂ and (bₙ₋₁bₙ₋₂...b₁b₀)₂ respectively.- Initialize a carry value `c` to 0.- Loop over each bit position `j` from 0 to n-1: - Calculate the value `d` as the integer division of the sum of the corresponding bits from `a`, `b`, and the carry `c`. - Assign the result of the bit-wise sum minus double `d` to `sⱼ`. - Update the carry `c` with the value of `d`.- After the loop, assign the final carry value `c` to `sₙ`.- Return the binary expansion of the sum as a sequence of bits (s₀, s₁, ..., sₙ).### Figure 1: Adding Two Base 2 Numbers(This may refer to a visual representation like a flowchart or diagram showing the steps taken

Convert a and b to binary strings.Determine the length of the binary strings and assign it to…

Problem 1 Write a program in a language of your choice (preferably Python, or R). Using the following algorithm. procedure add(a, b: positive integers) (the binary expansions of a and b are (an-1an-2...a1a0)2 and (bn-1bn-2...bibo) 2, respectively) C:=0 for j=0 to n-1 d:= [(aj +b; + c)/2] Sj:= aj +b; +c-2d c:= d Sn = C return (S0, S1,..., Sn) (the binary expansion of the sum is (SnSn-1...50)2}

Problem 1 Write a program in a language of your choice (preferably Python, or R). Using the following algorithm. procedure add(a, b: positive integers) (the binary expansions of a and b are (an-1an-2...a1a0)2 and (bn-1bn-2...bibo) 2, respectively) C:=0 for j=0 to n-1 d:= [(aj +b; + c)/2] Sj:= aj +b; +c-2d c:= d Sn = C return (S0, S1,..., Sn) (the binary expansion of the sum is (SnSn-1...50)2}

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 6PE

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Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

## Problem 1: Write a Program in a Language of Your Choice

### Description:
Write a program in a language of your choice (preferably Python, or R) using the following algorithm.

### Algorithm:
```plaintext
procedure add(a, b: positive integers)
{the binary expansions of a and b are (aₙ₋₁aₙ₋₂...a₁a₀)₂ and (bₙ₋₁bₙ₋₂...b₁b₀)₂, respectively}
c := 0
for j := 0 to n - 1
d := [(aⱼ + bⱼ + c) / 2]
sⱼ := aⱼ + bⱼ + c - 2d
c := d
sₙ := c
return (s₀, s₁, ..., sₙ) {the binary expansion of the sum is (sₙsₙ₋₁...s₀)₂}
```

### Explanation:
- The procedure `add(a, b)` takes two positive integers, `a` and `b`, as input.
- These integers are represented in binary as sequences of bits.
- The binary expansions of `a` and `b` are given as (aₙ₋₁aₙ₋₂...a₁a₀)₂ and (bₙ₋₁bₙ₋₂...b₁b₀)₂ respectively.
- Initialize a carry value `c` to 0.
- Loop over each bit position `j` from 0 to n-1:
- Calculate the value `d` as the integer division of the sum of the corresponding bits from `a`, `b`, and the carry `c`.
- Assign the result of the bit-wise sum minus double `d` to `sⱼ`.
- Update the carry `c` with the value of `d`.
- After the loop, assign the final carry value `c` to `sₙ`.
- Return the binary expansion of the sum as a sequence of bits (s₀, s₁, ..., sₙ).

### Figure 1: Adding Two Base 2 Numbers
(This may refer to a visual representation like a flowchart or diagram showing the steps taken

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