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:
001111111.1102 = 001 111 111. 110 = 001(=1) 111(=7) 111(=7). 110(=6) = 177.68
the Final answer: 01111111.112 = 177.68
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+0∙27+1∙26+1∙25+1∙24+1∙23+1∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3 = 0∙256+0∙128+1∙64+1∙32+1∙16+1∙8+1∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125 = 0+0+64+32+16+8+4+2+1+0.5+0.25+0 = 127.7510
got It: 001111111.1102 =127.7510
Translate the number 127.7510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
127 | 8 | | |
-120 | 15 | 8 | |
7 | -8 | 1 | |
| 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 75*8 |
6 | .0*8 |
the result of the conversion was:
127.7510 = 177.68
the Final answer: 01111111.112 = 177.68