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:
1116 = 1 1 = 1(=0001) 1(=0001) = 100012
answer: 1116 = 100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙161+1∙160 = 1∙16+1∙1 = 16+1 = 1710
got It: 1116 =1710
Translate the number 1710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
17 | 2 | | | | |
-16 | 8 | 2 | | | |
1 | -8 | 4 | 2 | | |
| 0 | -4 | 2 | 2 | |
| | 0 | -2 | 1 | |
| | | 0 | | |
|
the result of the conversion was:
1710 = 100012
answer: 1116 = 100012