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:
001010.0102 = 001 010. 010 = 001(=1) 010(=2). 010(=2) = 12.28
answer: 1010.0102 = 12.28
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+0∙24+1∙23+0∙22+1∙21+0∙20+0∙2-1+1∙2-2+0∙2-3 = 0∙32+0∙16+1∙8+0∙4+1∙2+0∙1+0∙0.5+1∙0.25+0∙0.125 = 0+0+8+0+2+0+0+0.25+0 = 10.2510
got It: 001010.0102 =10.2510
Translate the number 10.2510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
10 | 8 | |
-8 | 1 | |
2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*8 |
2 | .0*8 |
the result of the conversion was:
10.2510 = 12.28
answer: 1010.0102 = 12.28