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:
AD16 = A D = A(=1010) D(=1101) = 101011012
answer: AD16 = 101011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙161+13∙160 = 10∙16+13∙1 = 160+13 = 17310
got It: AD16 =17310
Translate the number 17310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
173 | 2 | | | | | | | |
-172 | 86 | 2 | | | | | | |
1 | -86 | 43 | 2 | | | | | |
| 0 | -42 | 21 | 2 | | | | |
| | 1 | -20 | 10 | 2 | | | |
| | | 1 | -10 | 5 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
17310 = 101011012
answer: AD16 = 101011012