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:
0a16 = 0 a = 0(=0000) a(=1010) = 10102
answer: 0a16 = 10102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙161+10∙160 = 0∙16+10∙1 = 0+10 = 1010
got It: 0a16 =1010
Translate the number 1010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
10 | 2 | | | |
-10 | 5 | 2 | | |
0 | -4 | 2 | 2 | |
| 1 | -2 | 1 | |
| | 0 | | |
|
the result of the conversion was:
1010 = 10102
answer: 0a16 = 10102