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
let\'s make a direct translation from binary to post-binary like this:
001110.0112 = 001 110. 011 = 001(=1) 110(=6). 011(=3) = 16.38
the Final answer: 1110.0112 = 16.38
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+0∙24+1∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+1∙2-3 = 0∙32+0∙16+1∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+1∙0.125 = 0+0+8+4+2+0+0+0.25+0.125 = 14.37510
got It: 001110.0112 =14.37510
Translate the number 14.37510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
14 | 8 | |
-8 | 1 | |
6 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 375*8 |
3 | .0*8 |
the result of the conversion was:
14.37510 = 16.38
the Final answer: 1110.0112 = 16.38