List the octal and hexadecimal numbers from 16 to 32. Using A and B for the last two digits, list the numbers from 8 to 28 in base 12.
1. Convert decimal to octal – dividing the decimal with 8 untill the Quotient becomes 0 and then accumulating the Remainders.
For example: 16/8 2 is Q ; 0 is R
2/8 =0.25; 0 is Q ; .25*8= 2 is R
(16)₁₀ = (20)₈
Conversion to hexadecimal is same as above example but dividing the decimal with 16
Decimal (base 10) |
Octal (base 8) |
Hexadecimal (base 16) |
16 |
20 |
10 |
17 |
21 |
11 |
18 |
22 |
12 |
19 |
23 |
13 |
20 |
24 |
14 |
21 |
25 |
15 |
22 |
26 |
16 |
23 |
27 |
17 |
24 |
30 |
18 |
25 |
31 |
19 |
26 |
32 |
1A |
27 |
33 |
1B |
28 |
34 |
1C |
29 |
35 |
1D |
30 |
36 |
1E |
31 |
37 |
1F |
32 |
40 |
20 |
Convert decimal to Dozonel (base 12)-
decimal | dozenal |
8 | 8 |
9 | 9 |
10 | A |
11 | B |
12 | 10 |
13 | 11 |
14 | 12 |
15 | 13 |
16 | 14 |
17 | 15 |
18 | 16 |
19 | 17 |
20 | 18 |
21 | 19 |
22 | 1A |
23 | 1B |
24 | 20 |
25 | 21 |
26 | 22 |
27 | 23 |
28 | 24 |