Why is binary used in digital systems?

The main reasons are as follows:

1. Easy to implement

The state in digital circuits is controlled by switches, which only have two types: on and off. state, and binary only has two states: "0" and "1", which are easy to implement with electronic components. Therefore, binary representation is used, with 0 representing low level and 1 representing high level, or vice versa.

2. Simplified operations

There are only 3 operation rules for binary number addition and multiplication (0+0=0, 0+1=1, 1+1=1 0 and 0×0=0, 0× 1=0, 1×1=1) The operation rules are simple, which is conducive to simplifying the internal structure and improving the operation speed.

3. Suitable for logical operations

Binary has only two digits, which coincides with "true" and "false" in logical algebra. Therefore, it is easier to perform logical operations (and, or, not, judgment, comparison, processing, etc.).

4. Easy to convert

Binary numbers can be easily converted into octal, hexadecimal, and decimal.

5. Simple, reliable, and high accuracy

Binary number operations are simple and easy to identify, because each bit of data has only two states, high and low. When subject to a certain degree of interference, it can still be reliably Tell whether it is high or low.

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