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Binary Decimal Hexadecimal Conversions

Picture
Binary
Decimal
Hexadecimal
log based 2
log based 10
log based 16
0, 1
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
For hexadecimal to decimal system:

A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
How to do the conversion below
Picture
If you multiply each digit to the proper position (I color coded them), you will get the decimal. 

Since F = 15, this hexdecimal number is equivalent to the following decimal.

(15 * 16^5) + (15 * 16^4) + (15 * 16^3) + (15 * 16^2) + (15 * 16^1) + (15 * 16^0)



Let's take a look at Binary to Decimal conversions
Picture
Binaries consists of 0s and 1s with log based 2. 

Let's try converting 1010101 instead.

2^6 + 2^4 + 2^2 + 2^0 = 64 + 16 + 4 + 1 = 85
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