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:
001101.0012 = 001 101. 001 = 001(=1) 101(=5). 001(=1) = 15.18
answer: 01101.0012 = 15.18
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+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3 = 0∙32+0∙16+1∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125 = 0+0+8+4+0+1+0+0+0.125 = 13.12510
got It: 001101.0012 =13.12510
Translate the number 13.12510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
13 | 8 | |
-8 | 1 | |
5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*8 |
1 | .0*8 |
the result of the conversion was:
13.12510 = 15.18
answer: 01101.0012 = 15.18