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:
13616 = 1 3 6 = 1(=0001) 3(=0011) 6(=0110) = 1001101102
answer: 13616 = 1001101102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙162+3∙161+6∙160 = 1∙256+3∙16+6∙1 = 256+48+6 = 31010
got It: 13616 =31010
Translate the number 31010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
310 | 2 | | | | | | | | |
-310 | 155 | 2 | | | | | | | |
0 | -154 | 77 | 2 | | | | | | |
| 1 | -76 | 38 | 2 | | | | | |
| | 1 | -38 | 19 | 2 | | | | |
| | | 0 | -18 | 9 | 2 | | | |
| | | | 1 | -8 | 4 | 2 | | |
| | | | | 1 | -4 | 2 | 2 | |
| | | | | | 0 | -2 | 1 | |
| | | | | | | 0 | | |
|
the result of the conversion was:
31010 = 1001101102
answer: 13616 = 1001101102