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:
010111011018 = 0 1 0 1 1 1 0 1 1 0 1 = 0(=000) 1(=001) 0(=000) 1(=001) 1(=001) 1(=001) 0(=000) 1(=001) 1(=001) 0(=000) 1(=001) = 0000010000010010010000010010000012
answer: 010111011018 = 10000010010010000010010000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙810+1∙89+0∙88+1∙87+1∙86+1∙85+0∙84+1∙83+1∙82+0∙81+1∙80 = 0∙1073741824+1∙134217728+0∙16777216+1∙2097152+1∙262144+1∙32768+0∙4096+1∙512+1∙64+0∙8+1∙1 = 0+134217728+0+2097152+262144+32768+0+512+64+0+1 = 13661036910
got It: 010111011018 =13661036910
Translate the number 13661036910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
136610369 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-136610368 | 68305184 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -68305184 | 34152592 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -34152592 | 17076296 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -17076296 | 8538148 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -8538148 | 4269074 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -4269074 | 2134537 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -2134536 | 1067268 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -1067268 | 533634 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -533634 | 266817 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -266816 | 133408 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -133408 | 66704 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -66704 | 33352 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -33352 | 16676 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -16676 | 8338 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -8338 | 4169 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -4168 | 2084 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -2084 | 1042 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -1042 | 521 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -520 | 260 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -260 | 130 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -130 | 65 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -64 | 32 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -32 | 16 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
13661036910 = 10000010010010000010010000012
answer: 010111011018 = 10000010010010000010010000012