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:
2DF16 = 2 D F = 2(=0010) D(=1101) F(=1111) = 10110111112
answer: 2DF16 = 10110111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+13∙161+15∙160 = 2∙256+13∙16+15∙1 = 512+208+15 = 73510
got It: 2DF16 =73510
Translate the number 73510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
735 | 2 | | | | | | | | | |
-734 | 367 | 2 | | | | | | | | |
1 | -366 | 183 | 2 | | | | | | | |
| 1 | -182 | 91 | 2 | | | | | | |
| | 1 | -90 | 45 | 2 | | | | | |
| | | 1 | -44 | 22 | 2 | | | | |
| | | | 1 | -22 | 11 | 2 | | | |
| | | | | 0 | -10 | 5 | 2 | | |
| | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
73510 = 10110111112
answer: 2DF16 = 10110111112