This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from octal to binary like this:
24738 = 2 4 7 3 = 2(=010) 4(=100) 7(=111) 3(=011) = 0101001110112
the Final answer: 24738 = 101001110112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙83+4∙82+7∙81+3∙80 = 2∙512+4∙64+7∙8+3∙1 = 1024+256+56+3 = 133910
got It: 24738 =133910
Translate the number 133910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1339 | 2 | | | | | | | | | | |
-1338 | 669 | 2 | | | | | | | | | |
1 | -668 | 334 | 2 | | | | | | | | |
| 1 | -334 | 167 | 2 | | | | | | | |
| | 0 | -166 | 83 | 2 | | | | | | |
| | | 1 | -82 | 41 | 2 | | | | | |
| | | | 1 | -40 | 20 | 2 | | | | |
| | | | | 1 | -20 | 10 | 2 | | | |
| | | | | | 0 | -10 | 5 | 2 | | |
| | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
133910 = 101001110112
the Final answer: 24738 = 101001110112