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:
001010.1001002 = 001 010. 100 100 = 001(=1) 010(=2). 100(=4) 100(=4) = 12.448
answer: 1010.10012 = 12.448
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+1∙2-1+0∙2-2+0∙2-3+1∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+1∙8+0∙4+1∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+1∙0.0625+0∙0.03125+0∙0.015625 = 0+0+8+0+2+0+0.5+0+0+0.0625+0+0 = 10.562510
got It: 001010.1001002 =10.562510
Translate the number 10.562510 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. | 5625*8 |
4 | .5*8 |
4 | .0*8 |
the result of the conversion was:
10.562510 = 12.448
answer: 1010.10012 = 12.448