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:
001010010.1111000102 = 001 010 010. 111 100 010 = 001(=1) 010(=2) 010(=2). 111(=7) 100(=4) 010(=2) = 122.7428
answer: 01010010.111100012 = 122.7428
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+0∙27+1∙26+0∙25+1∙24+0∙23+0∙22+1∙21+0∙20+1∙2-1+1∙2-2+1∙2-3+1∙2-4+0∙2-5+0∙2-6+0∙2-7+1∙2-8+0∙2-9 = 0∙256+0∙128+1∙64+0∙32+1∙16+0∙8+0∙4+1∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+1∙0.00390625+0∙0.001953125 = 0+0+64+0+16+0+0+2+0+0.5+0.25+0.125+0.0625+0+0+0+0.00390625+0 = 82.9414062510
got It: 001010010.1111000102 =82.9414062510
Translate the number 82.9414062510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
82 | 8 | | |
-80 | 10 | 8 | |
2 | -8 | 1 | |
| 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 94140625*8 |
7 | .53125*8 |
4 | .25*8 |
2 | .0*8 |
the result of the conversion was:
82.9414062510 = 122.7428
answer: 01010010.111100012 = 122.7428