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:
11000001108 = 1 1 0 0 0 0 0 1 1 0 = 1(=001) 1(=001) 0(=000) 0(=000) 0(=000) 0(=000) 0(=000) 1(=001) 1(=001) 0(=000) = 0010010000000000000000010010002
answer: 11000001108 = 10010000000000000000010010002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙89+1∙88+0∙87+0∙86+0∙85+0∙84+0∙83+1∙82+1∙81+0∙80 = 1∙134217728+1∙16777216+0∙2097152+0∙262144+0∙32768+0∙4096+0∙512+1∙64+1∙8+0∙1 = 134217728+16777216+0+0+0+0+0+64+8+0 = 15099501610
got It: 11000001108 =15099501610
Translate the number 15099501610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
150995016 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-150995016 | 75497508 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -75497508 | 37748754 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -37748754 | 18874377 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -18874376 | 9437188 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -9437188 | 4718594 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -4718594 | 2359297 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -2359296 | 1179648 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -1179648 | 589824 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -589824 | 294912 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -294912 | 147456 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -147456 | 73728 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -73728 | 36864 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -36864 | 18432 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -18432 | 9216 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -9216 | 4608 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -4608 | 2304 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -2304 | 1152 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -1152 | 576 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -576 | 288 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -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:
15099501610 = 10010000000000000000010010002
answer: 11000001108 = 10010000000000000000010010002