How are hex codes calculated

Hexadecimal number system (hex code)

Large binary numbers have the disadvantage that they are very confusing.
To remedy this, the hexadecimal system was introduced.
4 bits of a binary number are replaced by a hexadecimal character.
Since a 4-bit binary number can have 16 states, but we only know 10 decimal numbers, 6 letters have been added to the hexadecimal number system.

Nominal values: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
Base: 16
Largest face value: F.
Significance: 160 = 1, 161 = 16, 162 = 256, etc.

This table is used for a better understanding of the counting method in the hexadecimal number system. Each 4 binary digits form a hexadecimal digit.

DecimalBinary / dualHexadecimal

Hexadecimal numbers in computer engineering

In computer technology, the dual number system is decisive. Sometimes the hexadecimal system is also used. Usually for a clearer representation of large dual numbers. Long bit sequences of 4 bits each are grouped and converted into a hexadecimal number. In this way, a long sequence of 1 and 0 results in a shorter hexadecimal number. For easier readability, hexadecimal numbers are then grouped again in groups of 2 or 4.
Hexadecimal numbers or the hexadecimal representation is another form of representation of bit sequences.

010100001010110000111111Bit sequence
010100001010110000111111grouped bit sequence
50A.C.3F.Conversion to hex numbers
50AC3Fgrouped hex numbers

The hexadecimal system or the sixteen system is used for a clearer and more compact representation of long bit sequences. It is also used in assembler programming for addressing I / O and memory modules.

Spelling of the hexadecimal numbers

Hexadecimal numbers are marked with a "16" as an index or a preceding dollar sign ($). Other spellings with "h" or "H" are inconsistent and therefore not correct and are only acceptable in exceptional cases.

  • 10016 (correct spelling)
  • $ 100 (correct spelling)
  • 0x100 (correct spelling)
  • 100h (wrong spelling)
  • 100H (incorrect spelling)

Other related topics:

Electronics simple and easy to understand

Electronics primer

The electronics primer is a book about the basics of electronics, components, circuit technology and digital technology.

I want that!

Experience electronics with the "Starter Edition" electronics set

Perfect for beginners and newcomers

  • Entry into electronics without prior knowledge
  • Quick understanding of components and circuit symbols
  • Experiment without a soldering iron: just insert components

More informationOrder the electronics set now