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:
110111018 = 1 1 0 1 1 1 0 1 = 1(=001) 1(=001) 0(=000) 1(=001) 1(=001) 1(=001) 0(=000) 1(=001) = 0010010000010010010000012
answer: 110111018 = 10010000010010010000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙87+1∙86+0∙85+1∙84+1∙83+1∙82+0∙81+1∙80 = 1∙2097152+1∙262144+0∙32768+1∙4096+1∙512+1∙64+0∙8+1∙1 = 2097152+262144+0+4096+512+64+0+1 = 236396910
got It: 110111018 =236396910
Translate the number 236396910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2363969 | 2 | | | | | | | | | | | | | | | | | | | | | |
-2363968 | 1181984 | 2 | | | | | | | | | | | | | | | | | | | | |
1 | -1181984 | 590992 | 2 | | | | | | | | | | | | | | | | | | | |
| 0 | -590992 | 295496 | 2 | | | | | | | | | | | | | | | | | | |
| | 0 | -295496 | 147748 | 2 | | | | | | | | | | | | | | | | | |
| | | 0 | -147748 | 73874 | 2 | | | | | | | | | | | | | | | | |
| | | | 0 | -73874 | 36937 | 2 | | | | | | | | | | | | | | | |
| | | | | 0 | -36936 | 18468 | 2 | | | | | | | | | | | | | | |
| | | | | | 1 | -18468 | 9234 | 2 | | | | | | | | | | | | | |
| | | | | | | 0 | -9234 | 4617 | 2 | | | | | | | | | | | | |
| | | | | | | | 0 | -4616 | 2308 | 2 | | | | | | | | | | | |
| | | | | | | | | 1 | -2308 | 1154 | 2 | | | | | | | | | | |
| | | | | | | | | | 0 | -1154 | 577 | 2 | | | | | | | | | |
| | | | | | | | | | | 0 | -576 | 288 | 2 | | | | | | | | |
| | | | | | | | | | | | 1 | -288 | 144 | 2 | | | | | | | |
| | | | | | | | | | | | | 0 | -144 | 72 | 2 | | | | | | |
| | | | | | | | | | | | | | 0 | -72 | 36 | 2 | | | | | |
| | | | | | | | | | | | | | | 0 | -36 | 18 | 2 | | | | |
| | | | | | | | | | | | | | | | 0 | -18 | 9 | 2 | | | |
| | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
236396910 = 10010000010010010000012
answer: 110111018 = 10010000010010010000012