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:
000000C016 = 0 0 0 0 0 0 C 0 = 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) C(=1100) 0(=0000) = 110000002
answer: 000000C016 = 110000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙167+0∙166+0∙165+0∙164+0∙163+0∙162+12∙161+0∙160 = 0∙268435456+0∙16777216+0∙1048576+0∙65536+0∙4096+0∙256+12∙16+0∙1 = 0+0+0+0+0+0+192+0 = 19210
got It: 000000C016 =19210
Translate the number 19210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
192 | 2 | | | | | | | |
-192 | 96 | 2 | | | | | | |
0 | -96 | 48 | 2 | | | | | |
| 0 | -48 | 24 | 2 | | | | |
| | 0 | -24 | 12 | 2 | | | |
| | | 0 | -12 | 6 | 2 | | |
| | | | 0 | -6 | 3 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
19210 = 110000002
answer: 000000C016 = 110000002