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:
07D016 = 0 7 D 0 = 0(=0000) 7(=0111) D(=1101) 0(=0000) = 111110100002
answer: 07D016 = 111110100002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+7∙162+13∙161+0∙160 = 0∙4096+7∙256+13∙16+0∙1 = 0+1792+208+0 = 200010
got It: 07D016 =200010
Translate the number 200010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2000 | 2 | | | | | | | | | | |
-2000 | 1000 | 2 | | | | | | | | | |
0 | -1000 | 500 | 2 | | | | | | | | |
| 0 | -500 | 250 | 2 | | | | | | | |
| | 0 | -250 | 125 | 2 | | | | | | |
| | | 0 | -124 | 62 | 2 | | | | | |
| | | | 1 | -62 | 31 | 2 | | | | |
| | | | | 0 | -30 | 15 | 2 | | | |
| | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
200010 = 111110100002
answer: 07D016 = 111110100002