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:
010.1010111002 = 010. 101 011 100 = 010(=2). 101(=5) 011(=3) 100(=4) = 2.5348
answer: 10.10101112 = 2.5348
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙22+1∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6+1∙2-7+0∙2-8+0∙2-9 = 0∙4+1∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+1∙0.0078125+0∙0.00390625+0∙0.001953125 = 0+2+0+0.5+0+0.125+0+0.03125+0.015625+0.0078125+0+0 = 2.679687510
got It: 010.1010111002 =2.679687510
Translate the number 2.679687510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6796875*8 |
5 | .4375*8 |
3 | .5*8 |
4 | .0*8 |
the result of the conversion was:
2.679687510 = 2.5348
answer: 10.10101112 = 2.5348