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:
040016 = 0 4 0 0 = 0(=0000) 4(=0100) 0(=0000) 0(=0000) = 100000000002
answer: 040016 = 100000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙163+4∙162+0∙161+0∙160 = 0∙4096+4∙256+0∙16+0∙1 = 0+1024+0+0 = 102410
got It: 040016 =102410
Translate the number 102410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1024 | 2 | | | | | | | | | | |
-1024 | 512 | 2 | | | | | | | | | |
0 | -512 | 256 | 2 | | | | | | | | |
| 0 | -256 | 128 | 2 | | | | | | | |
| | 0 | -128 | 64 | 2 | | | | | | |
| | | 0 | -64 | 32 | 2 | | | | | |
| | | | 0 | -32 | 16 | 2 | | | | |
| | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
102410 = 100000000002
answer: 040016 = 100000000002