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:
77916 = 7 7 9 = 7(=0111) 7(=0111) 9(=1001) = 111011110012
answer: 77916 = 111011110012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙162+7∙161+9∙160 = 7∙256+7∙16+9∙1 = 1792+112+9 = 191310
got It: 77916 =191310
Translate the number 191310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1913 | 2 | | | | | | | | | | |
-1912 | 956 | 2 | | | | | | | | | |
1 | -956 | 478 | 2 | | | | | | | | |
| 0 | -478 | 239 | 2 | | | | | | | |
| | 0 | -238 | 119 | 2 | | | | | | |
| | | 1 | -118 | 59 | 2 | | | | | |
| | | | 1 | -58 | 29 | 2 | | | | |
| | | | | 1 | -28 | 14 | 2 | | | |
| | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
191310 = 111011110012
answer: 77916 = 111011110012