binary - 二进制在算术方面的优势

Question

有谁知道在进行算术运算时二进制系统如何优于十进制？这是一个测试中的问题，我似乎无法在任何地方找到一个好的答案......

具体来说：

在以下主题下解释使用二进制而不是十进制的好处 -

• 整数加法

• 整数乘法

• 整数除法

• 浮点存储

任何帮助将不胜感激。

Answer 1

Actually, it's not necessary for human to use binary system. With the topic, I think your question is more like why computers use it?

Modern computers are based on the electronic circuits. We use a simple 2-state gate to represent information. The basic element in circuits is transistor, which shows high and low voltage, representing 1 and 0 respectively. For a complex circuit, a given input can produce some outputs. If we see that from a high level, it shows the operation of 0's and 1's.

The circuits can also be used for storage, which consists of 0's and 1's, because of the 2-state.

Computer uses the binary system both for storage and operation. If we change it to a decimal system, we have to find a component which has ten state, representing 10 numbers. Besides, we also have to design operation between these basic numbers.

Until now, electronic circuits make it perfect with binary system.