58 lines
1.2 KiB
Markdown
58 lines
1.2 KiB
Markdown
---
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title: Hexadecimal Number System
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---
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## Hexadecimal Number System:
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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.
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The hexadecimal number system is very useful in the field of computing like Cryptography.
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## Adding Hexadecimal Numbers:
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Adding hex numbers are just like adding decimal with a twist.
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Lets look at the example below:
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```
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0x14
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+0x10
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______
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0x24
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```
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`4 + 0 = 4` and `1 + 1 = 2`. Simple, right?
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How about when there is a carry over?
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```
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0x1A
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+ 0x1B
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_______
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0x
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```
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`A(10) + B(11) = 21`. `21 % 16 = 5`.
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```
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1
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0x1A
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+ 0x1B
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_______
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0x 5
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```
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Now, `1 + 1 + 1 = 3`. Thus,
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```
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1
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0x1A
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+ 0x1B
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_______
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0x35
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```
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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.
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This is analogous to the decimal system.
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#### More Information:
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- <a href='https://en.m.wikipedia.org/wiki/Hexadecimal'>Wikipedia</a>
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- [Hex Calc](https://www.calculator.net/hex-calculator.html)
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