gaspersic/freeCodeCamp
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity

Added explanation on hex to decimal conversion (#21747)

Browse Source 
Added an example conversion from hex to decimal, along with an analogy to decimal system.
This commit is contained in:
Bearz314
2018-11-16 00:50:27 +11:00
committed by Tom
parent 049e75c5cf
commit 006869f41f
1 changed files with 36 additions and 16 deletions
Download Patch File Download Diff File Expand all files Collapse all files

26
guide/english/computer-science/hexcode/index.md
View File

@ -14,7 +14,30 @@ and use the first six letters of the alphabet to represent the values 10 through
In programming, we prefix hexadecimal constants with `0x`, with some exceptions.
### Examples and explanation
In the standard base 10 system, each column represents increasing powers of 10,
while in base 16 each column represents increasing powers of 16.
Consider the following number in base 10: `1337`
| 1000 | 100 | 10 | 1 |
| :---------- | :---------- | :---------- | :---------- |
| 1 | 3 | 3 | 7 |
It is `one thousand three hundred and thirty seven` because `1*1000 + 3*100 + 3*10 + 7*1`.
Similarly, consider a hex number (base 16): `0xBEEF`
| 16^3 | 16^2 | 16^1 | 16^0 |
| :---------- | :---------- | :---------- | :---------- |
| B (11) | E (14) | E (14) | F (15) |
Converting to decimal, it would be `11*16^3 + 14*16^2 + 14*16 + 15*1` which gives `48,879`.
Here are some other examples of equivalent hex and decimal values:
```
0x1 == 1
0xF == 15
@ -23,9 +46,6 @@ In programming, we prefix hexadecimal constants with `0x`, with some exceptions.
0x1000 == 4096
```
In the standard base 10 system, each column represents increasing powers of 10,
while in base 16 each column represents increasing powers of 16.
As seen in the table example above, with one hex digit we can represent numbers up to and including 15. Add another column and we can represent numbers up to 255, 4095 with another column, and so on.
## Uses of Hexadecimal in Low Level Programming