Help with binary, hexidecimal, decimal's

[Lilninjsways]

I'm in foundations of IT class in highschool and am not getting binary, hexadecimals and stuff like that... the teacher isnt very great when it comes to this topic this is the only difficult part i've ran into in his class... any help? I just need a way to make it easier for me to understand or just a easy chart that i can learn

[Blasteque]

Here's some simple comparisons:

https://www.computerhope.com/binhex.htm

[slightlyjaded]

I've always refered to them as base. They're merely a different way of visualising numbers.

 

think of an abacus (old school I know, but I'm old.)

 

in decimal, the way we're taught to think from year dot, each line has ten beads. we count through one row, we flick a bead on the next row, and reset the first row.

 

the problem is computers can't deal with base ten as they only have two state (except quantumn, you get into those, and we'll talk later) so we're really dealing with base of 2. off or on, 0 or 1.

 

you abacus now only has two beads on each row, and there's lots of rows.

 

hexadecimal mainly is a way to express large amounts of base 2 data basically it can express up to 4 sets of binary data far quicker than base 2 hope this helps explain some of the background.

[Tosa]

Counting in binary (base2) looks like this:

1. 1
2. 10
3. 11
4. 100
5. 101
6. 110
7. 111
8. 1000
9. 1001
10. 1010
11. 1011
12. 1100
13. 1101
14. 1110
15. 1111
16. 10000
17. 10001
18. 10010
19. 10011
20. 10100
21. 10101
22. 10110
23. 10111
24. 11000
25. 11001
26. 11010
27. 11011
28. 11100
29. 11101
30. 11110

Counting in hexadecimals (base16) looks like this:

1. 1
2. 2
3. 3
4. 4
5. 5
6. 6
7. 7
8. 8
9. 9
10. A
11. B
12. C
13. D
14. E
15. F
16. 10
17. 11
18. 12
19. 13
20. 14
21. 15
22. 16
23. 17
24. 18
25. 19
26. 1A
27. 1B
28. 1C
29. 1D
30. 1E

So, you count like you do normally, except in hexadecimals you don't stop at 9 before adding a digit, but continue until you reach F(A, B, C, D, E, F), and in binary, you stop a 1 and add a digit.

 

There's also base5, that looks like this:

1. 1
2. 2
3. 3
4. 4
5. 10
6. 11
7. 12
8. 13
9. 14
10. 20
11. 21
12. 22
13. 23
14. 24
15. 30
16. 31
17. 32
18. 33
19. 34
20. 40

 

[EPENEX]