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:
3FD16 = 3 F D = 3(=0011) F(=1111) D(=1101) = 11111111012
answer: 3FD16 = 11111111012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙162+15∙161+13∙160 = 3∙256+15∙16+13∙1 = 768+240+13 = 102110
got It: 3FD16 =102110
Translate the number 102110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1021 | 2 | | | | | | | | | |
-1020 | 510 | 2 | | | | | | | | |
1 | -510 | 255 | 2 | | | | | | | |
| 0 | -254 | 127 | 2 | | | | | | |
| | 1 | -126 | 63 | 2 | | | | | |
| | | 1 | -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:
102110 = 11111111012
answer: 3FD16 = 11111111012