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:
111011.0112 = 111 011. 011 = 111(=7) 011(=3). 011(=3) = 73.38
answer: 111011.0112 = 73.38
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙25+1∙24+1∙23+0∙22+1∙21+1∙20+0∙2-1+1∙2-2+1∙2-3 = 1∙32+1∙16+1∙8+0∙4+1∙2+1∙1+0∙0.5+1∙0.25+1∙0.125 = 32+16+8+0+2+1+0+0.25+0.125 = 59.37510
got It: 111011.0112 =59.37510
Translate the number 59.37510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
59 | 8 | |
-56 | 7 | |
3 | | |
|
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:
59.37510 = 73.38
answer: 111011.0112 = 73.38