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:
6b16 = 6 b = 6(=0110) b(=1011) = 11010112
answer: 6b16 = 11010112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙161+11∙160 = 6∙16+11∙1 = 96+11 = 10710
got It: 6b16 =10710
Translate the number 10710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
107 | 2 | | | | | | |
-106 | 53 | 2 | | | | | |
1 | -52 | 26 | 2 | | | | |
| 1 | -26 | 13 | 2 | | | |
| | 0 | -12 | 6 | 2 | | |
| | | 1 | -6 | 3 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 1 | | |
|
the result of the conversion was:
10710 = 11010112
answer: 6b16 = 11010112