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:
F0F16 = F 0 F = F(=1111) 0(=0000) F(=1111) = 1111000011112
the Final answer: F0F16 = 1111000011112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙162+0∙161+15∙160 = 15∙256+0∙16+15∙1 = 3840+0+15 = 385510
got It: F0F16 =385510
Translate the number 385510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3855 | 2 | | | | | | | | | | | |
-3854 | 1927 | 2 | | | | | | | | | | |
1 | -1926 | 963 | 2 | | | | | | | | | |
| 1 | -962 | 481 | 2 | | | | | | | | |
| | 1 | -480 | 240 | 2 | | | | | | | |
| | | 1 | -240 | 120 | 2 | | | | | | |
| | | | 0 | -120 | 60 | 2 | | | | | |
| | | | | 0 | -60 | 30 | 2 | | | | |
| | | | | | 0 | -30 | 15 | 2 | | | |
| | | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | 1 | | |
|
the result of the conversion was:
385510 = 1111000011112
the Final answer: F0F16 = 1111000011112