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 right
let\'s make a direct translation from binary to post-binary like this:
101.0010102 = 101. 001 010 = 101(=5). 001(=1) 010(=2) = 5.128
answer: 101.001012 = 5.128
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6 = 1∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625 = 4+0+1+0+0+0.125+0+0.03125+0 = 5.1562510
got It: 101.0010102 =5.1562510
Translate the number 5.1562510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 15625*8 |
1 | .25*8 |
2 | .0*8 |
the result of the conversion was:
5.1562510 = 5.128
answer: 101.001012 = 5.128