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:
33748 = 3 3 7 4 = 3(=011) 3(=011) 7(=111) 4(=100) = 0110111111002
the Final answer: 33748 = 110111111002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙83+3∙82+7∙81+4∙80 = 3∙512+3∙64+7∙8+4∙1 = 1536+192+56+4 = 178810
got It: 33748 =178810
Translate the number 178810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1788 | 2 | | | | | | | | | | |
-1788 | 894 | 2 | | | | | | | | | |
0 | -894 | 447 | 2 | | | | | | | | |
| 0 | -446 | 223 | 2 | | | | | | | |
| | 1 | -222 | 111 | 2 | | | | | | |
| | | 1 | -110 | 55 | 2 | | | | | |
| | | | 1 | -54 | 27 | 2 | | | | |
| | | | | 1 | -26 | 13 | 2 | | | |
| | | | | | 1 | -12 | 6 | 2 | | |
| | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
178810 = 110111111002
the Final answer: 33748 = 110111111002