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:
02c16 = 0 2 c = 0(=0000) 2(=0010) c(=1100) = 1011002
answer: 02c16 = 1011002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙162+2∙161+12∙160 = 0∙256+2∙16+12∙1 = 0+32+12 = 4410
got It: 02c16 =4410
Translate the number 4410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
44 | 2 | | | | | |
-44 | 22 | 2 | | | | |
0 | -22 | 11 | 2 | | | |
| 0 | -10 | 5 | 2 | | |
| | 1 | -4 | 2 | 2 | |
| | | 1 | -2 | 1 | |
| | | | 0 | | |
|
the result of the conversion was:
4410 = 1011002
answer: 02c16 = 1011002