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:
17.54_{8} = 1 7. 5 4 = 1_{(=001)} 7_{(=111)}. 5_{(=101)} 4_{(=100)} = 001111.101100_{2}
the Final answer: 17.54_{8} = 1111.1011_{2}
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙8^{1}+7∙8^{0}+5∙8^{1}+4∙8^{2} = 1∙8+7∙1+5∙0.125+4∙0.015625 = 8+7+0.625+0.0625 = 15.6875_{10}
got It: 17.54_{8} =15.6875_{10}
Translate the number 15.6875_{10} в binary like this:
the Integer part of the number is divided by the base of the new number system:
15  2    
14  7  2   
1  6  3  2  
 1  2  1  
  1   

the Fractional part of the number is multiplied by the base of the new number system:

0.  6875*2 
1  .375*2 
0  .75*2 
1  .5*2 
1  .0*2 
the result of the conversion was:
15.6875_{10} = 1111.1011_{2}
the Final answer: 17.54_{8} = 1111.1011_{2}