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:
010101.0102 = 010 101. 010 = 010(=2) 101(=5). 010(=2) = 25.28
answer: 10101.012 = 25.28
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+1∙24+0∙23+1∙22+0∙21+1∙20+0∙2-1+1∙2-2+0∙2-3 = 0∙32+1∙16+0∙8+1∙4+0∙2+1∙1+0∙0.5+1∙0.25+0∙0.125 = 0+16+0+4+0+1+0+0.25+0 = 21.2510
got It: 010101.0102 =21.2510
Translate the number 21.2510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
21 | 8 | |
-16 | 2 | |
5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*8 |
2 | .0*8 |
the result of the conversion was:
21.2510 = 25.28
answer: 10101.012 = 25.28