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:
3a3e00016 = 3 a 3 e 0 0 0 = 3(=0011) a(=1010) 3(=0011) e(=1110) 0(=0000) 0(=0000) 0(=0000) = 111010001111100000000000002
answer: 3a3e00016 = 111010001111100000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙166+10∙165+3∙164+14∙163+0∙162+0∙161+0∙160 = 3∙16777216+10∙1048576+3∙65536+14∙4096+0∙256+0∙16+0∙1 = 50331648+10485760+196608+57344+0+0+0 = 6107136010
got It: 3a3e00016 =6107136010
Translate the number 6107136010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
61071360 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
-61071360 | 30535680 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -30535680 | 15267840 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -15267840 | 7633920 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -7633920 | 3816960 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -3816960 | 1908480 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -1908480 | 954240 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -954240 | 477120 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -477120 | 238560 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -238560 | 119280 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -119280 | 59640 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -59640 | 29820 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -29820 | 14910 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -14910 | 7455 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -7454 | 3727 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -3726 | 1863 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -1862 | 931 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -930 | 465 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -464 | 232 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -232 | 116 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -116 | 58 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -58 | 29 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -28 | 14 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
6107136010 = 111010001111100000000000002
answer: 3a3e00016 = 111010001111100000000000002