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:
001101.0011002 = 001 101. 001 100 = 001(=1) 101(=5). 001(=1) 100(=4) = 15.148
answer: 1101.00112 = 15.148
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+1∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+1∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625 = 0+0+8+4+0+1+0+0+0.125+0.0625+0+0 = 13.187510
got It: 001101.0011002 =13.187510
Translate the number 13.187510 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. | 1875*8 |
1 | .5*8 |
4 | .0*8 |
the result of the conversion was:
13.187510 = 15.148
answer: 1101.00112 = 15.148