# Solved: vector decimal to binary

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Binary numbers play a vital role in computing and programming. It is especially crucial in C++, which is a high-level programming language widely used for system programming, game development, and much more. Today, we will explore the process of conversion from decimal to binary in C++ programming.

## Understanding Decimal System and Binary System

The decimal system is represented with the digits from 0-9, whereas the binary system uses only 0 and 1. This different encoding strategy is fundamental to computer systems, which operate on binary code. It is often necessary to convert decimal numbers into binary format in the programming world.

## The Art of Decimal to Binary Conversion

The process of converting a decimal to binary can be done using both iterative and recursive methods. In this explanation, we will use the iterative way, taking advantage of C++’s flexibility and efficiency. Here’s a step-by-step guide on how to do it.

#include
using namespace std;

int convert(int n){
int binaryNum;
int i = 0;
while (n > 0) {
binaryNum[i] = n % 2;
n = n / 2;
i++;
}
for (int j = i – 1; j >= 0; j–)
cout << binaryNum[j]; } int main() { int num; cout << "Enter a decimal number : "; cin >> num;
convert(num);
return 0;
}

## Explanation of the Code

The above code uses the modulus operator to find the remainder when the decimal number is divided by 2 (n%2). This remainder is stored in the binary array (starts with 0), and then the number is divided by 2. The loop continues until num becomes 0. Finally, we print the binary array in reverse order to achieve the decimal to binary conversion.

## Exploring Key C++ Concepts Used

In the above C++ code, we have used a few essential C++ concepts such as arrays, loops, modulus arithmetic, and functions. Understanding these concepts can enhance your C++ skills drastically.

• Arrays: In C++, arrays are used to store multiple values in a single variable.
• Loops: For iterating through the array and implementing the binary conversion logic, loops have been used.
• Modulus arithmetic: It is used to find the remainder when one number is divided by another.
• Functions: Functions are group of statements that accomplish a specific task. They help to make our code reusable and modular.

By practicing these conversions and understanding the underlying C++ principles, you can enhance your technical skills and become a more efficient programmer. Keep coding, and keep exploring.

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