This explanation has been written by KROCKDROP. FULL credit for this explanantion goes to KROCKDROP.
Ok, First you need to learn how to count in Hex-Decimal. Here is a chart to show you how to count in the Hex-Decimal System. Learn it!!
00-01-02-03-04-05-06-07-08-09
10-11-12-13-14-15-16-17-18-19
20-21-22-23-24-25-26-27-28-29
30-31-32-33-34-35-36-37-38-39
40-41-42-43-44-45-46-47-48-49
50-51-52-53-54-55-56-57-58-59
60-61-62-63-64-65-66-67-68-69
70-71-72-73-74-75-76-77-78-79
80-81-82-83-84-85-86-87-88-89
90-91-92-93-94-95-96-97-98-99
Ok, see how it works. After each line (example: the line of 80's), it will stop at say 89, then reset to a 90. See, was that so hard?
After you have learned the Hex-Decimal Counting System, you can move on to Hex Counting System
Here is a chart to show you how to count in Hex. Learn it, too!!
00-01-02-03-04-05-06-07-08-09-0a--0b-0c-0d-0e-0f
10-11-12-13-14-15-16-17-18-19-1a-1b-1c-1d-1e-1f
20-21-22-23-24-25-26-27-28-29-2a-2b-2c-2d-2e-2f
30-31-32-33-34-35-36-37-38-39-3a-3b-3c-3d-3e-3f
40-41-42-43-44-45-46-47-48-49-4a-4b-4c-4d-4e-4f
50-51-52-53-54-55-56-57-58-59-5a-5b-5c-5d-5e-5f
60-61-62-63-64-65-66-67-68-69-6a-6b-6c-6d-6e-6f
70-71-72-73-74-75-76-77-78-79-7a-7b-7c-7d-7e-7f
80-81-82-83-84-85-86-87-88-89-8a-8b-8c-8d-8e-8f
90-91-92-93-94-95-96-97-98-99-9a-9b-9c-9d-9e-9f
Ok, see how it works. After each line (example: the line of E0's), it will stop at say E9, then reset to a F0. See, was that so hard either? In fact, its the same except with more characters.
Hex Counting in Hex-Decimal System Comparisons
Here is a chart to show you Hex.
00-01-02-03-04-05-06-07-08-09-0a--0b-0c-0d-0e-0f
10-11-12-13-14-15-16-17-18-19-1a-1b-1c-1d-1e-1f
20-21-22-23-24-25-26-27-28-29-2a-2b-2c-2d-2e-2f
30-31-32-33-34-35-36-37-38-39-3a-3b-3c-3d-3e-3f
40-41-42-43-44-45-46-47-48-49-4a-4b-4c-4d-4e-4f
50-51-52-53-54-55-56-57-58-59-5a-5b-5c-5d-5e-5f
60-61-62-63-64-65-66-67-68-69-6a-6b-6c-6d-6e-6f
70-71-72-73-74-75-76-77-78-79-7a-7b-7c-7d-7e-7f
80-81-82-83-84-85-86-87-88-89-8a-8b-8c-8d-8e-8f
90-91-92-93-94-95-96-97-98-99-9a-9b-9c-9d-9e-9f
Here is what you see above in Hex-Decimal.
Ok, I cant make it understandable without restarting at 0 every one-hundred. Please try to understand it this way.
00-01-02-03-04-05-06-07-08-09-10-11-12-13-14-15
16-17-18-19-20-21-22-23-24-25-26-27-28-29-30-31
32-33-34-35-36-37-38-39-40-41-42-43-44-45-46-47
48-49-50-51-52-53-54-55-56-57-58-59-60-61-62-63
64-65-66-67-68-69-70-71-72-73-74-75-76-77-78-79
80-81-82-83-84-85-86-87-88-89-90-91-92-93-94-95
96-97-98-99-00-01-02-03-04-05-06-07-08-09-10-11
12-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27
28-29-30-31-32-33-34-35-36-37-38-39-40-41-42-43
44-45-46-47-48-49-50-51-52-53-54-55-56-57-58-59
60-61-62-63-64-65-66-67-68-69-70-71-72-73-74-75
76-77-78-79-80-81-82-83-84-85-86-87-88-89-90-91
92-93-94-95-96-97-98-99-00-01-02-03-04-05-06-07
08-09-10-11-12-13-14-15-16-17-18-19-20-21-22-23
24-25-26-27-28-29-30-31-32-33-34-35-36-37-38-39
40-41-42-43-44-45-46-47-48-49-5-0-51-52-53-54-55
Ok, get it? Whew! A lot of typing in that one.
Ok, this is the LAST number system you have to use. This is the Binary Counting System. In this system, only two numbers exist. The two numbers are 0 and 1.
Hex----Bin----Hex
0------0000-----0
1------0001-----1
2------0010-----2
3------0011-----3
4------0100-----4
5------0101-----5
6------0110-----6
7------0111-----7
8------1000-----8
9------1001-----9
10-----1010-----A
11-----1011-----B
12-----1100-----C
13-----1101-----D
14-----1110-----E
15-----1111-----F
Ok, a Hex number represents a Binary number. The Binary Counting System is totally based on powers of 2. The number being raised is always a 0 or 2 depending on the binary if its a 0 or 1.
Converting
4Bit Value Converting
Hex: 0F
Binary: 1111
Hex-Decimal: In order to get the Hex-Decimal value, you need to add 2³+2²+2¹+2º and you will find it will equal 15 in Hex-Decimal which is 0F in Hex.
Hex: 0A
Binary: 1010
Hex-Decimal: 2³+0²+2¹+0º and you will find it will equal 10 in Hex-Decimal which is 0A in Hex.
0F & 0A can be considered 4bit values. This is because it takes 4 binary digits to define the values.
8bit Value Converting
Hex: D7
Binary: 11010111
Hex-Decimal: 2 to the power of 7+2 to the power of 6+0 to the power of 5+2 to the power of 4+0 to the power of 3+2 to the power of 2+2 to the power of 1+2 to the power of 0
Hex-Decimal Adding: 128+64+0+16+0+4+2+1 and you will find it will equal 215 in Hex-Decimal which is D7 in Hex.
16bit Value Converting
Hex: E0F2
Binary: 1110000011110010
Hex-Decimal: 2 to the power of 15+2 to the power of 14+2 to the power of 13+0 to the power of 12+0 to the power of 11+0 to the power of 10+0 to the power of 9+0 to the power of 8+2 to the power of 7+2 to the power of 6+2 to the power of 5+2 to the power of 4+0³+0²+2¹+0º
Hex-Decimal Adding: 32768+16384+8192+0+0+0+0+0+128+64+32+16+0+0+2+0 and you will find it will equal 57586 in Hex-Decimal which is E0F2 in Hex.
Get it? Youll catch on soon.
No, you can also use a calculator since this is a very hard Counting System for new hackers. Now, if you have Windows, you can go to Start, then to Programs, then to Accessories, and then to Calculator. Now, go to the View Menu, and click Scientific. Now, click the Binary tab. You can also use the Hex or Decimal tabs. Learn this stuff and learn it well!
|