This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
let\'s make a direct translation from binary to post-binary like this:
000.1110010012 = 000. 111 001 001 = 000(=0). 111(=7) 001(=1) 001(=1) = 0.7118
answer: 0.1110010012 = 0.7118
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙22+0∙21+0∙20+1∙2-1+1∙2-2+1∙2-3+0∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8+1∙2-9 = 0∙4+0∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+0∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625+1∙0.001953125 = 0+0+0+0.5+0.25+0.125+0+0+0.015625+0+0+0.001953125 = 0.89257812510
got It: 000.1110010012 =0.89257812510
Translate the number 0.89257812510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 892578125*8 |
7 | .14063*8 |
1 | .125*8 |
1 | .0*8 |
the result of the conversion was:
0.89257812510 = 0.7118
answer: 0.1110010012 = 0.7118