Binary Codes (click to see!)

having trouble understanding what your question is !!

Is your question:
"How the formulas are created?" what formulas?


edit
so you are asking why:
(01000011)BIN = 2^6 2^1 2^0 = 67

Like a decimal number, 3050 equals
3 x 10³ + 0 x 10² + 5 x 10¹ + 0 x 10⁰
or
3 x 1000 + 0 x 100 + 5 x 10 + 0 x 1
or
3050
make sure you understand this before you go on. Try other examples.

the binary number 01000011 equals
0*2^7 + 1*2^6 + 0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0

and that is what you have in your question. They dropped the ones with zero for simplification.

0*2^7 + 1*2^6 + 0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0
1*2^6 + 1*2^1 + 1*2^0
1*64 + 1*2 + 1*1
64 + 2 + 1
67

Keep in mind
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
2^7 = 128

etc.



.

The correct conversion expressions are:
(01000011)BIN = 2^6+2^1+2^0 = 67
(01001111)BIN = 2^6+2^3+2^2+2^1+2^0 = 79
(01000100)BIN = 2^6+2^2 = 68
(01000101)BIN = 2^6+2^2+2^0 = 69

I'm not sure if you are asking how binary number systems were created, or if you are asking how the ascii code was created. There isn't enough space here to go into either subject. I suggest you try doing a search and you should find plenty of information on both topics.

I think you don't know what binary is.

See this section:
http://en.wikipedia.org/wiki/ASCII#ASCII_printable_characters

The binary in your question make up the word "CODE" in capital letters.