This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s translate to decimal like this:
2∙83+5∙82+6∙81+7∙80+2∙8-1+4∙8-2 = 2∙512+5∙64+6∙8+7∙1+2∙0.125+4∙0.015625 = 1024+320+48+7+0.25+0.0625 = 1399.312510
got It: 2567.248 =1399.312510
Translate the number 1399.312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1399 | 16 | | |
-1392 | 87 | 16 | |
7 | -80 | 5 | |
| 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 3125*16 |
5 | .0*16 |
the result of the conversion was:
1399.312510 = 577.516
answer: 2567.248 = 577.516
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
2567.248 = 2 5 6 7. 2 4 = 2(=010) 5(=101) 6(=110) 7(=111). 2(=010) 4(=100) = 010101110111.0101002
answer: 2567.248 = 10101110111.01012
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
010101110111.01012 = 0101 0111 0111. 0101 = 0101(=5) 0111(=7) 0111(=7). 0101(=5) = 577.516
answer: 010101110111.01018 = 577.516