📅 Date: Jan 24, 2026
🔥 Topic: Number System Conversions (Algorithms)

🔄 Decimal to Binary (The Code Logic)

While the Power Rule is good for humans, computers use the Division Method to convert large numbers.

  1. Divide the number by 2.
  2. Store the Remainder (0 or 1).
  3. Repeat until the number becomes 0.
  4. Reverse the stored remainders to get the Binary.
[Image of decimal to binary conversion flowchart]

💻 Day 24 Code: Decimal to Binary Converter

I wrote a C++ program that takes a decimal number and converts it to binary using an array to store bits. 

#include <iostream>
using namespace std;

int main() {
    int n;
    cout << "Enter a Decimal Number: ";
    cin >> n;

    int binaryNum[32]; // Array to store binary bits
    int i = 0;

    // Conversion Algorithm
    while (n > 0) {
        binaryNum[i] = n % 2; // Store remainder
        n = n / 2;            // Divide number
        i++;
    }

    // Printing in Reverse
    cout << "Binary: ";
    for (int j = i - 1; j >= 0; j--) {
        cout << binaryNum[j];
    }
    cout << endl;

    return 0;
}

🔄 Binary to Decimal

To go back (e.g., 101 -> 5), we multiply each digit by its Power of 2 (1, 2, 4, 8...).
(1 * 4) + (0 * 2) + (1 * 1) = 5

⏭️ Next Up: Strings

Numbers are cool, but software is built on Text.
Starting tomorrow, I will learn how C++ handles text using Strings & Character Arrays.