This transfer is possible in two ways: direct transfer and using the decimal system.
First we will perform the translation through the decimal system
let\'s translate to decimal like this:
14∙162+15∙161+4∙160+2∙16-1+0∙16-2 = 14∙256+15∙16+4∙1+2∙0.0625+0∙0.00390625 = 3584+240+4+0.125+0 = 3828.12510
got It: EF4.2016 =3828.12510
Translate the number 3828.12510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
3828 | 8 | | | |
-3824 | 478 | 8 | | |
4 | -472 | 59 | 8 | |
| 6 | -56 | 7 | |
| | 3 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*8 |
1 | .0*8 |
the result of the conversion was:
3828.12510 = 7364.18
answer: EF4.2016 = 7364.18
Now we will perform a direct translation.
let\'s do a direct translation from hexadecimal to binary like this:
EF4.2016 = E F 4. 2 0 = E(=1110) F(=1111) 4(=0100). 2(=0010) 0(=0000) = 111011110100.0012
answer: EF4.2016 = 111011110100.0012
let\'s make a direct translation from binary to post-binary like this:
111011110100.0012 = 111 011 110 100. 001 = 111(=7) 011(=3) 110(=6) 100(=4). 001(=1) = 7364.18
answer: EF4.2016 = 7364.18