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:
010000.0112 = 010 000. 011 = 010(=2) 000(=0). 011(=3) = 20.38
the Final answer: 10000.0112 = 20.38
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+1∙2-2+1∙2-3 = 0∙32+1∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+1∙0.25+1∙0.125 = 0+16+0+0+0+0+0+0.25+0.125 = 16.37510
got It: 010000.0112 =16.37510
Translate the number 16.37510 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. | 375*8 |
3 | .0*8 |
the result of the conversion was:
16.37510 = 20.38
the Final answer: 10000.0112 = 20.38