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:
002016 = 0 0 2 0 = 0(=0000) 0(=0000) 2(=0010) 0(=0000) = 1000002
answer: 002016 = 1000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+0∙162+2∙161+0∙160 = 0∙4096+0∙256+2∙16+0∙1 = 0+0+32+0 = 3210
got It: 002016 =3210
Translate the number 3210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
32 | 2 | | | | | |
-32 | 16 | 2 | | | | |
0 | -16 | 8 | 2 | | | |
| 0 | -8 | 4 | 2 | | |
| | 0 | -4 | 2 | 2 | |
| | | 0 | -2 | 1 | |
| | | | 0 | | |
|
the result of the conversion was:
3210 = 1000002
answer: 002016 = 1000002