In-depth understanding of digital and evolutionary conversions

In computer science and daily mathematics, evolution (digital) is a rule for the expression of numbers. Although we are used to decimals, the bottom logic of the computer world is based entirely on binary and hexadecimals. Mastery of the evolution is not only the basis of programming, but also the key to understanding information storage, colour coding and network protocols.

Common-Improved System Parsing

Binary, Base 2: Computer “mother tongue”. Only by 0 and 1 Composition, corresponding to circuits and switches.
Octal, Base 8: Commonly used for early computer systems and Unix file privileges (e.g., 755 ）。 Every 3-bit binary can be abbreviated to 1-bit octal.
Decimal, Base 10: The human numeric method is common and is based on the physiological characteristics of the human being with ten fingers.
Hexadecimal, Base 16: The most common processor. Use 0-9 and A-F - Show. Every 4-bit binary can be abbreviated to 1-bit hexadecimal, which is very appropriate for byte data (e. g. colour values) #FFFFFF ）。

How to manually convert?

The most common method is “Except essential” 。 For example, convert Decimal 13 to binary:

13 ÷ 2 = 6 ... ...min 1
6 ÷ 2 = 3 ... residual 0
3 ÷ 2 = 1 ... ...min 1
1 ÷ 2 = 0 ... Yu 1
Read the remainder from bottom to top, get 1101 。

Large processing and Base 36

When the digit is more than 10, we start using the letter A-Z to indicate 10-35. Base 36 (10 + 26 letters) often used to generate short and only identifiers (Short) IDs) because it can be a very short string for a large number. This tool uses JavaScript BigInt Technology, which supports the precise conversion of super-integers, does not cause loss of accuracy.

How can this tool be used efficiently?

Enter the value you want to convert in the top input box.
Select the original progression to which this value belongs.
The bottom grid shows its correspondence values under binary, octal, decimal, hexadecimal in real time.
Click on any result to deposit it on the clipboard.
If you need a special digit (e. g. 12 or 36), you can enter directly in the custom area at the bottom.