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:
17533616 = 1 7 5 3 3 6 = 1(=0001) 7(=0111) 5(=0101) 3(=0011) 3(=0011) 6(=0110) = 1011101010011001101102
answer: 17533616 = 1011101010011001101102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙165+7∙164+5∙163+3∙162+3∙161+6∙160 = 1∙1048576+7∙65536+5∙4096+3∙256+3∙16+6∙1 = 1048576+458752+20480+768+48+6 = 152863010
got It: 17533616 =152863010
Translate the number 152863010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1528630 | 2 | | | | | | | | | | | | | | | | | | | | |
-1528630 | 764315 | 2 | | | | | | | | | | | | | | | | | | | |
0 | -764314 | 382157 | 2 | | | | | | | | | | | | | | | | | | |
| 1 | -382156 | 191078 | 2 | | | | | | | | | | | | | | | | | |
| | 1 | -191078 | 95539 | 2 | | | | | | | | | | | | | | | | |
| | | 0 | -95538 | 47769 | 2 | | | | | | | | | | | | | | | |
| | | | 1 | -47768 | 23884 | 2 | | | | | | | | | | | | | | |
| | | | | 1 | -23884 | 11942 | 2 | | | | | | | | | | | | | |
| | | | | | 0 | -11942 | 5971 | 2 | | | | | | | | | | | | |
| | | | | | | 0 | -5970 | 2985 | 2 | | | | | | | | | | | |
| | | | | | | | 1 | -2984 | 1492 | 2 | | | | | | | | | | |
| | | | | | | | | 1 | -1492 | 746 | 2 | | | | | | | | | |
| | | | | | | | | | 0 | -746 | 373 | 2 | | | | | | | | |
| | | | | | | | | | | 0 | -372 | 186 | 2 | | | | | | | |
| | | | | | | | | | | | 1 | -186 | 93 | 2 | | | | | | |
| | | | | | | | | | | | | 0 | -92 | 46 | 2 | | | | | |
| | | | | | | | | | | | | | 1 | -46 | 23 | 2 | | | | |
| | | | | | | | | | | | | | | 0 | -22 | 11 | 2 | | | |
| | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
152863010 = 1011101010011001101102
answer: 17533616 = 1011101010011001101102