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:
010100.0012 = 010 100. 001 = 010(=2) 100(=4). 001(=1) = 24.18
the Final answer: 10100.0012 = 24.18
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+1∙24+0∙23+1∙22+0∙21+0∙20+0∙2-1+0∙2-2+1∙2-3 = 0∙32+1∙16+0∙8+1∙4+0∙2+0∙1+0∙0.5+0∙0.25+1∙0.125 = 0+16+0+4+0+0+0+0+0.125 = 20.12510
got It: 010100.0012 =20.12510
Translate the number 20.12510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
20 | 8 | |
-16 | 2 | |
4 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*8 |
1 | .0*8 |
the result of the conversion was:
20.12510 = 24.18
the Final answer: 10100.0012 = 24.18