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 octal to binary like this:
14.238 = 1 4. 2 3 = 1(=001) 4(=100). 2(=010) 3(=011) = 001100.0100112
answer: 14.238 = 1100.0100112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙81+4∙80+2∙8-1+3∙8-2 = 1∙8+4∙1+2∙0.125+3∙0.015625 = 8+4+0.25+0.046875 = 12.29687510
got It: 14.238 =12.29687510
Translate the number 12.29687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
12 | 2 | | | |
-12 | 6 | 2 | | |
0 | -6 | 3 | 2 | |
| 0 | -2 | 1 | |
| | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 296875*2 |
0 | .59375*2 |
1 | .1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
12.29687510 = 1100.0100112
answer: 14.238 = 1100.0100112