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:
048016 = 0 4 8 0 = 0(=0000) 4(=0100) 8(=1000) 0(=0000) = 100100000002
answer: 048016 = 100100000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+4∙162+8∙161+0∙160 = 0∙4096+4∙256+8∙16+0∙1 = 0+1024+128+0 = 115210
got It: 048016 =115210
Translate the number 115210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1152 | 2 | | | | | | | | | | |
-1152 | 576 | 2 | | | | | | | | | |
0 | -576 | 288 | 2 | | | | | | | | |
| 0 | -288 | 144 | 2 | | | | | | | |
| | 0 | -144 | 72 | 2 | | | | | | |
| | | 0 | -72 | 36 | 2 | | | | | |
| | | | 0 | -36 | 18 | 2 | | | | |
| | | | | 0 | -18 | 9 | 2 | | | |
| | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
115210 = 100100000002
answer: 048016 = 100100000002