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:
000006F916 = 0 0 0 0 0 6 F 9 = 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 6(=0110) F(=1111) 9(=1001) = 110111110012
answer: 000006F916 = 110111110012
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+6∙162+15∙161+9∙160 = 0∙268435456+0∙16777216+0∙1048576+0∙65536+0∙4096+6∙256+15∙16+9∙1 = 0+0+0+0+0+1536+240+9 = 178510
got It: 000006F916 =178510
Translate the number 178510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1785 | 2 | | | | | | | | | | |
-1784 | 892 | 2 | | | | | | | | | |
1 | -892 | 446 | 2 | | | | | | | | |
| 0 | -446 | 223 | 2 | | | | | | | |
| | 0 | -222 | 111 | 2 | | | | | | |
| | | 1 | -110 | 55 | 2 | | | | | |
| | | | 1 | -54 | 27 | 2 | | | | |
| | | | | 1 | -26 | 13 | 2 | | | |
| | | | | | 1 | -12 | 6 | 2 | | |
| | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
178510 = 110111110012
answer: 000006F916 = 110111110012