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:
8716 = 8 7 = 8(=1000) 7(=0111) = 100001112
the Final answer: 8716 = 100001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
8∙161+7∙160 = 8∙16+7∙1 = 128+7 = 13510
got It: 8716 =13510
Translate the number 13510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
135 | 2 | | | | | | | |
-134 | 67 | 2 | | | | | | |
1 | -66 | 33 | 2 | | | | | |
| 1 | -32 | 16 | 2 | | | | |
| | 1 | -16 | 8 | 2 | | | |
| | | 0 | -8 | 4 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
13510 = 100001112
the Final answer: 8716 = 100001112