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:
11∙162+11∙161+10∙160+11∙16-1+12∙16-2+10∙16-3 = 11∙256+11∙16+10∙1+11∙0.0625+12∙0.00390625+10∙0.000244140625 = 2816+176+10+0.6875+0.046875+0.00244140625 = 3002.7368164062510
got It: BBA.BCA16 =3002.7368164062510
Translate the number 3002.7368164062510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
3002 | 8 | | | |
-3000 | 375 | 8 | | |
2 | -368 | 46 | 8 | |
| 7 | -40 | 5 | |
| | 6 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 73681640625*8 |
5 | .89453*8 |
7 | .15625*8 |
1 | .25*8 |
2 | .0*8 |
the result of the conversion was:
3002.7368164062510 = 5672.57128
answer: BBA.BCA16 = 5672.57128
Now we will perform a direct translation.
let\'s do a direct translation from hexadecimal to binary like this:
BBA.BCA16 = B B A. B C A = B(=1011) B(=1011) A(=1010). B(=1011) C(=1100) A(=1010) = 101110111010.101111001012
answer: BBA.BCA16 = 101110111010.101111001012
Fill in the number with missing zeros on the right
let\'s make a direct translation from binary to post-binary like this:
101110111010.1011110010102 = 101 110 111 010. 101 111 001 010 = 101(=5) 110(=6) 111(=7) 010(=2). 101(=5) 111(=7) 001(=1) 010(=2) = 5672.57128
answer: BBA.BCA16 = 5672.57128