This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s make a direct translation from binary to post-binary like this:
001001.0011112 = 001 001. 001 111 = 001(=1) 001(=1). 001(=1) 111(=7) = 11.178
answer: 001001.0011112 = 11.178
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+0∙24+1∙23+0∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+1∙2-4+1∙2-5+1∙2-6 = 0∙32+0∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+1∙0.015625 = 0+0+8+0+0+1+0+0+0.125+0.0625+0.03125+0.015625 = 9.23437510
got It: 001001.0011112 =9.23437510
Translate the number 9.23437510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
9 | 8 | |
-8 | 1 | |
1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 234375*8 |
1 | .875*8 |
7 | .0*8 |
the result of the conversion was:
9.23437510 = 11.178
answer: 001001.0011112 = 11.178