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:
0007000016 = 0 0 0 7 0 0 0 0 = 0(=0000) 0(=0000) 0(=0000) 7(=0111) 0(=0000) 0(=0000) 0(=0000) 0(=0000) = 11100000000000000002
answer: 0007000016 = 11100000000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙167+0∙166+0∙165+7∙164+0∙163+0∙162+0∙161+0∙160 = 0∙268435456+0∙16777216+0∙1048576+7∙65536+0∙4096+0∙256+0∙16+0∙1 = 0+0+0+458752+0+0+0+0 = 45875210
got It: 0007000016 =45875210
Translate the number 45875210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
458752 | 2 | | | | | | | | | | | | | | | | | | |
-458752 | 229376 | 2 | | | | | | | | | | | | | | | | | |
0 | -229376 | 114688 | 2 | | | | | | | | | | | | | | | | |
| 0 | -114688 | 57344 | 2 | | | | | | | | | | | | | | | |
| | 0 | -57344 | 28672 | 2 | | | | | | | | | | | | | | |
| | | 0 | -28672 | 14336 | 2 | | | | | | | | | | | | | |
| | | | 0 | -14336 | 7168 | 2 | | | | | | | | | | | | |
| | | | | 0 | -7168 | 3584 | 2 | | | | | | | | | | | |
| | | | | | 0 | -3584 | 1792 | 2 | | | | | | | | | | |
| | | | | | | 0 | -1792 | 896 | 2 | | | | | | | | | |
| | | | | | | | 0 | -896 | 448 | 2 | | | | | | | | |
| | | | | | | | | 0 | -448 | 224 | 2 | | | | | | | |
| | | | | | | | | | 0 | -224 | 112 | 2 | | | | | | |
| | | | | | | | | | | 0 | -112 | 56 | 2 | | | | | |
| | | | | | | | | | | | 0 | -56 | 28 | 2 | | | | |
| | | | | | | | | | | | | 0 | -28 | 14 | 2 | | | |
| | | | | | | | | | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
45875210 = 11100000000000000002
answer: 0007000016 = 11100000000000000002