Pure Binary Numeration System for Dummies

Hello there! Today, I am going to explain to you what the term "Pure Binary Numeration System" means. Don't worry if it sounds a bit complex at first - I'll break it down for you in the simplest way possible, so that you can understand it easily.

Okay, let's start with the word "numerations." When we talk about numerations, we're basically referring to different ways of representing numbers. You already know one way, which is the decimal system we use every day - counting from 0 to 9, and then carrying over to the next digit when we reach 10. The Pure Binary Numeration System is another way of representing numbers, but instead of using 10 digits like we do in the decimal system, it only uses two - 0 and 1.

Now, imagine you have a bag of marbles. In the decimal system, each marble represents a different value depending on its position - the first marble from the right represents ones, the second marble represents tens, the third represents hundreds, and so on. In the Pure Binary Numeration System, we use the same idea, but instead of marbles, we use digits - 0 and 1. However, each digit represents a different value depending on its position as well.

Here's a little analogy to make it clearer. Imagine you have a magic box with two compartments. The right compartment is for the digit 1, and the left compartment is for the digit 0. Now, let's say you have a number written in the Pure Binary Numeration System, like 1101. You start counting from the right, so the first digit is 1, which means you put one marble in the right compartment. The second digit is also 1, so you put another marble in the right compartment. The third digit is 0, so you don't put any marbles in the left compartment. And finally, the fourth digit is 1, so you put one marble in the left compartment.

By doing this, you're representing the number 1101 in the Pure Binary Numeration System. Each position has a different value based on its place, just like in the decimal system, but instead of using 10 possible values, we only use 0 and 1. So, the number 1101 in the decimal system would be equivalent to 13. In other words, in the Pure Binary Numeration System, 1101 means 13 in the decimal system.

I hope that explanation helps you understand what the term "Pure Binary Numeration System" means. Remember, it's just another way of representing numbers using only two digits - 0 and 1 - and each position has a different value depending on its place. If you have any more questions, feel free to ask! Learning can be challenging, but I'm here to support you every step of the way.