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:
9816 = 9 8 = 9(=1001) 8(=1000) = 100110002
the Final answer: 9816 = 100110002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
9∙161+8∙160 = 9∙16+8∙1 = 144+8 = 15210
got It: 9816 =15210
Translate the number 15210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
152 | 2 | | | | | | | |
-152 | 76 | 2 | | | | | | |
0 | -76 | 38 | 2 | | | | | |
| 0 | -38 | 19 | 2 | | | | |
| | 0 | -18 | 9 | 2 | | | |
| | | 1 | -8 | 4 | 2 | | |
| | | | 1 | -4 | 2 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 0 | | |
 |
the result of the conversion was:
15210 = 100110002
the Final answer: 9816 = 100110002