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:
29416 = 2 9 4 = 2(=0010) 9(=1001) 4(=0100) = 10100101002
answer: 29416 = 10100101002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+9∙161+4∙160 = 2∙256+9∙16+4∙1 = 512+144+4 = 66010
got It: 29416 =66010
Translate the number 66010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
660 | 2 | | | | | | | | | |
-660 | 330 | 2 | | | | | | | | |
0 | -330 | 165 | 2 | | | | | | | |
| 0 | -164 | 82 | 2 | | | | | | |
| | 1 | -82 | 41 | 2 | | | | | |
| | | 0 | -40 | 20 | 2 | | | | |
| | | | 1 | -20 | 10 | 2 | | | |
| | | | | 0 | -10 | 5 | 2 | | |
| | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
66010 = 10100101002
answer: 29416 = 10100101002