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:
2D516 = 2 D 5 = 2(=0010) D(=1101) 5(=0101) = 10110101012
the Final answer: 2D516 = 10110101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+13∙161+5∙160 = 2∙256+13∙16+5∙1 = 512+208+5 = 72510
got It: 2D516 =72510
Translate the number 72510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
725 | 2 | | | | | | | | | |
-724 | 362 | 2 | | | | | | | | |
1 | -362 | 181 | 2 | | | | | | | |
| 0 | -180 | 90 | 2 | | | | | | |
| | 1 | -90 | 45 | 2 | | | | | |
| | | 0 | -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:
72510 = 10110101012
the Final answer: 2D516 = 10110101012