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:
2216 = 2 2 = 2(=0010) 2(=0010) = 1000102
the Final answer: 2216 = 1000102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙161+2∙160 = 2∙16+2∙1 = 32+2 = 3410
got It: 2216 =3410
Translate the number 3410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
34 | 2 | | | | | |
-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:
3410 = 1000102
the Final answer: 2216 = 1000102