Hexadecimal system in mathematics is a carry system of 16 and 1. Generally, it is represented by numbers 0 to 9 and letters A to F (or A to F), where A to F stands for 10~ 15, which is called hexadecimal number. Cardinal number 16 can usually be expressed in hexadecimal or subscript 16.
Hexadecimal can be converted with other decimals, for example, hexadecimal number 39 can be converted into decimal number 57, and the binary number can be written as111.
Historically, China used 16 as the unit of weight, for example, it was stipulated that 16 was one catty. Because it is not difficult to convert four digits into a hexadecimal number, hexadecimal is widely used in the computer field.
As an important digital system in the computer field, hexadecimal is very beneficial to the description of computer theory and the design of computer hardware circuits. For example, in the design of logic circuits, we should not only consider the completeness of functions, but also consider using as little hardware as possible. Hexadecimal can play a role in theoretical analysis.
For example, a four-bit binary circuit can have at most sixteen states, that is, hexadecimal form. Only when these sixteen states are used or used as much as possible can hardware resources play the greatest role.