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:
3F16 = 3 F = 3(=0011) F(=1111) = 1111112
answer: 3F16 = 1111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙161+15∙160 = 3∙16+15∙1 = 48+15 = 6310
got It: 3F16 =6310
Translate the number 6310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
63 | 2 | | | | | |
-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:
6310 = 1111112
answer: 3F16 = 1111112