Hex addition (#20950)

* Hex addition

I added how to add hexadecimal numbers.

* Apply code formatting
pull/21952/head^2
Mallory Butt 2018-11-17 15:39:40 -06:00 committed by Manish Giri
parent 64020be179
commit f0721248df
1 changed files with 47 additions and 1 deletions

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@ -5,7 +5,53 @@ title: Hexadecimal Number System
Hexadecimal number system is a numbering system that uses base 16. Hexa = 6 and decimal = 10, combination of 'hexa' and 'decimal' gives use the base 16 number system. The numbers in hexadecimal are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 = A, 11 = B, 12 = C, 13 = D, 14 = E and 15 = F.
The hexadecimal number system is very useful in the field of computing like Cryptography.
## Adding Hexadecimal Numbers:
Adding hex numbers are just like adding decimal with a twist.
Lets look at the example below:
```
0x14
+0x10
______
0x24
```
`4 + 0 = 4` and `1 + 1 = 2`. Simple, right?
How about when there is a carry over?
```
0x1A
+ 0x1B
_______
0x
```
`A(10) + B(11) = 21`. `21 % 16 = 5`.
```
1
0x1A
+ 0x1B
_______
0x 5
```
Now, `1 + 1 + 1 = 3`. Thus,
```
1
0x1A
+ 0x1B
_______
0x35
```
When there is a carry over in hex (meaning two numbers adding together is greater than 15), mod the number by 16 and carry a one over.
This is analogous to the decimal system.
#### More Information:
<a href='https://en.m.wikipedia.org/wiki/Hexadecimal'>Wikipedia</a>
- <a href='https://en.m.wikipedia.org/wiki/Hexadecimal'>Wikipedia</a>
- [Hex Calc](https://www.calculator.net/hex-calculator.html)