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:
14816 = 1 4 8 = 1(=0001) 4(=0100) 8(=1000) = 1010010002
the Final answer: 14816 = 1010010002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙162+4∙161+8∙160 = 1∙256+4∙16+8∙1 = 256+64+8 = 32810
got It: 14816 =32810
Translate the number 32810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
328 | 2 | | | | | | | | |
-328 | 164 | 2 | | | | | | | |
0 | -164 | 82 | 2 | | | | | | |
| 0 | -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:
32810 = 1010010002
the Final answer: 14816 = 1010010002