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:
E00000016 = E 0 0 0 0 0 0 = E(=1110) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) = 11100000000000000000000000002
answer: E00000016 = 11100000000000000000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
14∙166+0∙165+0∙164+0∙163+0∙162+0∙161+0∙160 = 14∙16777216+0∙1048576+0∙65536+0∙4096+0∙256+0∙16+0∙1 = 234881024+0+0+0+0+0+0 = 23488102410
got It: E00000016 =23488102410
Translate the number 23488102410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
234881024 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-234881024 | 117440512 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -117440512 | 58720256 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -58720256 | 29360128 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -29360128 | 14680064 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -14680064 | 7340032 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -7340032 | 3670016 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -3670016 | 1835008 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -1835008 | 917504 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -917504 | 458752 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -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:
23488102410 = 11100000000000000000000000002
answer: E00000016 = 11100000000000000000000000002