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:
0.148 = 0. 1 4 = 0(=000). 1(=001) 4(=100) = 000.0011002
the Final answer: 0.148 = .00112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙80+1∙8-1+4∙8-2 = 0∙1+1∙0.125+4∙0.015625 = 0+0.125+0.0625 = 0.187510
got It: 0.148 =0.187510
Translate the number 0.187510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.187510 = 0.00112
the Final answer: 0.148 = 0.00112