Understanding of Radix

The decimal system is the most commonly used in our daily life . seeing the name of a thing one thinks of its function , The decimal system is the mathematical rule that when you encounter the number of ten, you will enter one digit . Binary system is a binary system . Numbers in different base numbers can be converted to each other .

But I have such a question when I understand the operation of binary numbers ：

First give a string of numbers ,1111

Your first instinct is how big it is , Namely 1111 Right , This is our default that it is a decimal number .

What if it is a binary number , How big is it ,15 Is that so? , This is another subconscious transformation , In my opinion, it is 1111 So big , that 15 You secretly convert it into decimal numbers , It's just convenient for you to recognize this number .

Let's reconsider addition , In fact, our default addition and carry is decimal , Think about how you calculate 1111 The decimal conversion of this binary number .

That's right ：1*2^3+1*2^2+1*2^0 = 15 

Is the addition here every decimal one . What if the addition is every sixteen into one ？

A little random thinking ： Conventional things will facilitate our communication , Lower the learning threshold , You can also build something much like " The subconscious mind " Such a knowledge base , Let's build a bridge of knowledge more quickly .