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 right
let\'s make a direct translation from binary to post-binary like this:
010010111.0110101002 = 010 010 111. 011 010 100 = 010(=2) 010(=2) 111(=7). 011(=3) 010(=2) 100(=4) = 227.3248
answer: 010010111.01101012 = 227.3248
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+1∙27+0∙26+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8+0∙2-9 = 0∙256+1∙128+0∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625+0∙0.001953125 = 0+128+0+0+16+0+4+2+1+0+0.25+0.125+0+0.03125+0+0.0078125+0+0 = 151.414062510
got It: 010010111.0110101002 =151.414062510
Translate the number 151.414062510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
151 | 8 | | |
-144 | 18 | 8 | |
7 | -16 | 2 | |
| 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 4140625*8 |
3 | .3125*8 |
2 | .5*8 |
4 | .0*8 |
the result of the conversion was:
151.414062510 = 227.3248
answer: 010010111.01101012 = 227.3248