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:
1C16 = 1 C = 1(=0001) C(=1100) = 111002
answer: 1C16 = 111002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙161+12∙160 = 1∙16+12∙1 = 16+12 = 2810
got It: 1C16 =2810
Translate the number 2810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
28 | 2 | | | | |
-28 | 14 | 2 | | | |
0 | -14 | 7 | 2 | | |
| 0 | -6 | 3 | 2 | |
| | 1 | -2 | 1 | |
| | | 1 | | |
|
the result of the conversion was:
2810 = 111002
answer: 1C16 = 111002