The digital system of basic knowledge of introduction to computer science

1. Introduction

What is a digital system?

A digital system (or digital system) defines how a number is represented by a unique symbol.

There are two types of digital systems: positional digital systems and non-positional digital systems.

2. Position Digital System

In a positional digital system, the position that the symbol occupies in a number determines the value it represents.

(1) Decimal System

① integer

② Real numbers

(2) binary system

① integer

② Real numbers

(3) Hex system

① integer

② Real numbers

(4) Octal system

① integer

② Real numbers

(5) Summary of 4 position systems

(6) Conversion

① conversion of other binary to decimal

② decimal to another binary conversion:

We are able to convert decimal numbers into other binaries. Requires two procedures: one is to convert the integer part, and one is to convert the fractional part.

Number of digital: K=[LOGBN]

[x] means to take the smallest integer greater than or equal to X (also known as the maximum of x)

③ binary-16 binary conversion

④ binary-eight binary conversion

⑤ octal-16 binary conversion (using binary system as mediation system)

3. Non-positional digital system

The non-positional digital system still uses a limited number sign, one value per symbol. However, the position of the symbol is usually independent of its value---the value of each symbol is fixed. A good example is Roman numerals.

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The digital system of basic knowledge of introduction to computer science