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:
001110000111.0000100100011002 = 001 110 000 111. 000 010 010 001 100 = 001(=1) 110(=6) 000(=0) 111(=7). 000(=0) 010(=2) 010(=2) 001(=1) 100(=4) = 1607.022148
the Final answer: 001110000111.00001001000112 = 1607.022148
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+1∙28+1∙27+0∙26+0∙25+0∙24+0∙23+1∙22+1∙21+1∙20+0∙2-1+0∙2-2+0∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+1∙2-8+0∙2-9+0∙2-10+0∙2-11+1∙2-12+1∙2-13+0∙2-14+0∙2-15 = 0∙2048+0∙1024+1∙512+1∙256+1∙128+0∙64+0∙32+0∙16+0∙8+1∙4+1∙2+1∙1+0∙0.5+0∙0.25+0∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+1∙0.00390625+0∙0.001953125+0∙0.0009765625+0∙0.00048828125+1∙0.000244140625+1∙0.0001220703125+0∙6.103515625E-5+0∙3.0517578125E-5 = 0+0+512+256+128+0+0+0+0+4+2+1+0+0+0+0+0.03125+0+0+0.00390625+0+0+0+0.000244140625+0.0001220703125+0+0 = 903.035522460937510
got It: 001110000111.0000100100011002 =903.035522460937510
Translate the number 903.035522460937510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
903 | 8 | | | |
-896 | 112 | 8 | | |
7 | -112 | 14 | 8 | |
| 0 | -8 | 1 | |
| | 6 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 0355224609375*8 |
0 | .28418*8 |
2 | .27344*8 |
2 | .1875*8 |
1 | .5*8 |
4 | .0*8 |
the result of the conversion was:
903.035522460937510 = 1607.022148
the Final answer: 001110000111.00001001000112 = 1607.022148