Hexadecimal
Overview
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Hexadecimal (hex) ~ base 16 number system
Use 0 through 9 and ...
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
Decimal Example
2657= 2000 + 600 + 50 + 7
= 2*1000 + 6*100 + 5*10 + 7*1
= 2*103 + 6*102 + 5*101 + 7*100
Binary Example
10112
= 1*23 + 0*22 + 1*21 + 1*20
= 1*8 + 0*4 + 1*2 + 1*1
= 8 + 2 + 1 = 1110
Hexadecimal Example
A4F16
= 10*162 + 4*161 + 15*160
= 10*256 + 4*16 + 15*1
= 2560 + 64 + 15 = 263910
Hexadecimal  Decimal
6116 = ?
F2316 = ?
Now convert the above to binary...
Decimal  Hexadecimal
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Given the powers of 16: 1, 16, 256, 4096, etc.
Find the power that is just bigger than your
number
Go down to the next smallest power of 16
Divide your number by that power
Round the result down
Make note of the result for that power of 16
Multiply the rounded down result by its
corresponding power of 16…and then subtract that
from your original number
Using the result from Step 7, repeat Steps 1-7 until
you reach 0
So why do we use hex?
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Binary is annoying to read
Hexadecimal is slightly easier
Binary  Hexadecimal is painless
Example: 11101010100101012 = ?
Binary  Hexadecimal
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Split the binary number up into 4-bit
sections
Determine the hexadecimal value of
each section
Bam…you’re done
Example: 111010010111010101000101
Hexadecimal  Binary
1.
2.
Determine the 4-bit binary value for
each hexadecimal digit
Bam…you’re done