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:
1∙82+2∙81+3∙80+4∙8-1+5∙8-2+6∙8-3 = 1∙64+2∙8+3∙1+4∙0.125+5∙0.015625+6∙0.001953125 = 64+16+3+0.5+0.078125+0.01171875 = 83.5898437510
got It: 123.4568 =83.5898437510
Translate the number 83.5898437510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
83 | 16 | |
-80 | 5 | |
3 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 58984375*16 |
9 | .4375*16 |
7 | .0*16 |
the result of the conversion was:
83.5898437510 = 53.9716
answer: 123.4568 = 53.9716
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
123.4568 = 1 2 3. 4 5 6 = 1(=001) 2(=010) 3(=011). 4(=100) 5(=101) 6(=110) = 001010011.1001011102
answer: 123.4568 = 1010011.100101112
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
01010011.100101112 = 0101 0011. 1001 0111 = 0101(=5) 0011(=3). 1001(=9) 0111(=7) = 53.9716
answer: 01010011.100101118 = 53.9716