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
Fill in the number with missing zeros on the right
let\'s make a direct translation from binary to post-binary like this:
001.0010102 = 001. 001 010 = 001(=1). 001(=1) 010(=2) = 1.128
the Final answer: 1.001012 = 1.128
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6 = 0∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625 = 0+0+1+0+0+0.125+0+0.03125+0 = 1.1562510
got It: 001.0010102 =1.1562510
Translate the number 1.1562510 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:
1.1562510 = 1.128
the Final answer: 1.001012 = 1.128