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:
8916 = 8 9 = 8(=1000) 9(=1001) = 100010012
the Final answer: 8916 = 100010012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
8∙161+9∙160 = 8∙16+9∙1 = 128+9 = 13710
got It: 8916 =13710
Translate the number 13710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
137 | 2 | | | | | | | |
-136 | 68 | 2 | | | | | | |
1 | -68 | 34 | 2 | | | | | |
| 0 | -34 | 17 | 2 | | | | |
| | 0 | -16 | 8 | 2 | | | |
| | | 1 | -8 | 4 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
13710 = 100010012
the Final answer: 8916 = 100010012