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:
010000.0001002 = 010 000. 000 100 = 010(=2) 000(=0). 000(=0) 100(=4) = 20.048
answer: 10000.00012 = 20.048
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+1∙24+0∙23+0∙22+0∙21+0∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+0∙2-5+0∙2-6 = 0∙32+1∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+0∙0.03125+0∙0.015625 = 0+16+0+0+0+0+0+0+0+0.0625+0+0 = 16.062510
got It: 010000.0001002 =16.062510
Translate the number 16.062510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
16 | 8 | |
-16 | 2 | |
0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 0625*8 |
0 | .5*8 |
4 | .0*8 |
the result of the conversion was:
16.062510 = 20.048
answer: 10000.00012 = 20.048