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:
A616 = A 6 = A(=1010) 6(=0110) = 101001102
answer: A616 = 101001102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
10∙161+6∙160 = 10∙16+6∙1 = 160+6 = 16610
got It: A616 =16610
Translate the number 16610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
166 | 2 | | | | | | | |
-166 | 83 | 2 | | | | | | |
0 | -82 | 41 | 2 | | | | | |
| 1 | -40 | 20 | 2 | | | | |
| | 1 | -20 | 10 | 2 | | | |
| | | 0 | -10 | 5 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
16610 = 101001102
answer: A616 = 101001102