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:
0000004B16 = 0 0 0 0 0 0 4 B = 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 4(=0100) B(=1011) = 10010112
answer: 0000004B16 = 10010112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙167+0∙166+0∙165+0∙164+0∙163+0∙162+4∙161+11∙160 = 0∙268435456+0∙16777216+0∙1048576+0∙65536+0∙4096+0∙256+4∙16+11∙1 = 0+0+0+0+0+0+64+11 = 7510
got It: 0000004B16 =7510
Translate the number 7510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
75 | 2 | | | | | | |
-74 | 37 | 2 | | | | | |
1 | -36 | 18 | 2 | | | | |
| 1 | -18 | 9 | 2 | | | |
| | 0 | -8 | 4 | 2 | | |
| | | 1 | -4 | 2 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 0 | | |
|
the result of the conversion was:
7510 = 10010112
answer: 0000004B16 = 10010112