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:
F416 = F 4 = F(=1111) 4(=0100) = 111101002
answer: F416 = 111101002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙161+4∙160 = 15∙16+4∙1 = 240+4 = 24410
got It: F416 =24410
Translate the number 24410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
244 | 2 | | | | | | | |
-244 | 122 | 2 | | | | | | |
0 | -122 | 61 | 2 | | | | | |
| 0 | -60 | 30 | 2 | | | | |
| | 1 | -30 | 15 | 2 | | | |
| | | 0 | -14 | 7 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 1 | | |
|
the result of the conversion was:
24410 = 111101002
answer: F416 = 111101002