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:
FD16 = F D = F(=1111) D(=1101) = 111111012
the Final answer: FD16 = 111111012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙161+13∙160 = 15∙16+13∙1 = 240+13 = 25310
got It: FD16 =25310
Translate the number 25310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
253 | 2 | | | | | | | |
-252 | 126 | 2 | | | | | | |
1 | -126 | 63 | 2 | | | | | |
| 0 | -62 | 31 | 2 | | | | |
| | 1 | -30 | 15 | 2 | | | |
| | | 1 | -14 | 7 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
25310 = 111111012
the Final answer: FD16 = 111111012