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:
03de16 = 0 3 d e = 0(=0000) 3(=0011) d(=1101) e(=1110) = 11110111102
answer: 03de16 = 11110111102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+3∙162+13∙161+14∙160 = 0∙4096+3∙256+13∙16+14∙1 = 0+768+208+14 = 99010
got It: 03de16 =99010
Translate the number 99010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
990 | 2 | | | | | | | | | |
-990 | 495 | 2 | | | | | | | | |
0 | -494 | 247 | 2 | | | | | | | |
| 1 | -246 | 123 | 2 | | | | | | |
| | 1 | -122 | 61 | 2 | | | | | |
| | | 1 | -60 | 30 | 2 | | | | |
| | | | 1 | -30 | 15 | 2 | | | |
| | | | | 0 | -14 | 7 | 2 | | |
| | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 1 | | |
|
the result of the conversion was:
99010 = 11110111102
answer: 03de16 = 11110111102