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:
67116 = 6 7 1 = 6(=0110) 7(=0111) 1(=0001) = 110011100012
answer: 67116 = 110011100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙162+7∙161+1∙160 = 6∙256+7∙16+1∙1 = 1536+112+1 = 164910
got It: 67116 =164910
Translate the number 164910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1649 | 2 | | | | | | | | | | |
-1648 | 824 | 2 | | | | | | | | | |
1 | -824 | 412 | 2 | | | | | | | | |
| 0 | -412 | 206 | 2 | | | | | | | |
| | 0 | -206 | 103 | 2 | | | | | | |
| | | 0 | -102 | 51 | 2 | | | | | |
| | | | 1 | -50 | 25 | 2 | | | | |
| | | | | 1 | -24 | 12 | 2 | | | |
| | | | | | 1 | -12 | 6 | 2 | | |
| | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
164910 = 110011100012
answer: 67116 = 110011100012