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:
023316 = 0 2 3 3 = 0(=0000) 2(=0010) 3(=0011) 3(=0011) = 10001100112
answer: 023316 = 10001100112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+2∙162+3∙161+3∙160 = 0∙4096+2∙256+3∙16+3∙1 = 0+512+48+3 = 56310
got It: 023316 =56310
Translate the number 56310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
563 | 2 | | | | | | | | | |
-562 | 281 | 2 | | | | | | | | |
1 | -280 | 140 | 2 | | | | | | | |
| 1 | -140 | 70 | 2 | | | | | | |
| | 0 | -70 | 35 | 2 | | | | | |
| | | 0 | -34 | 17 | 2 | | | | |
| | | | 1 | -16 | 8 | 2 | | | |
| | | | | 1 | -8 | 4 | 2 | | |
| | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | 0 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
56310 = 10001100112
answer: 023316 = 10001100112