This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
0AC16 = 0 A C = 0(=0000) A(=1010) C(=1100) = 101011002
the Final answer: 0AC16 = 101011002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙162+10∙161+12∙160 = 0∙256+10∙16+12∙1 = 0+160+12 = 17210
got It: 0AC16 =17210
Translate the number 17210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
172 | 2 | | | | | | | |
-172 | 86 | 2 | | | | | | |
0 | -86 | 43 | 2 | | | | | |
| 0 | -42 | 21 | 2 | | | | |
| | 1 | -20 | 10 | 2 | | | |
| | | 1 | -10 | 5 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
17210 = 101011002
the Final answer: 0AC16 = 101011002