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**Home ⇒ Overview Courses ⇒ PLC ⇒ Number Systems ⇒ ****Conversion between number systems**

## Conversion between number systems

**Relation between Dual code and Hexadecimal code:**

When we compare the binary coded number ‘1100 1101’ with the number in hex ‘CD’, we recognize, that always 4 binary digits build a hex digit. The reason is that with 4 binary numbers exactly 16 numbers can be displayed (from 0 to F).

**Decimal to Binary**

Decimal numbers can be converted to binary by repeated division of the number by 2 while recording the remainder. We explain it with an example:

**Decimal to Hexadecimal**

Decimal numbers can be converted to Hex by repeated division of the number by 16 while recording the remainder. Let’s take an example to see how this works.