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:
762.0138 = 7 6 2. 0 1 3 = 7(=111) 6(=110) 2(=010). 0(=000) 1(=001) 3(=011) = 111110010.0000010112
answer: 762.0138 = 111110010.0000010112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙82+6∙81+2∙80+0∙8-1+1∙8-2+3∙8-3 = 7∙64+6∙8+2∙1+0∙0.125+1∙0.015625+3∙0.001953125 = 448+48+2+0+0.015625+0.005859375 = 498.02148437510
got It: 762.0138 =498.02148437510
Translate the number 498.02148437510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
498 | 2 | | | | | | | | |
-498 | 249 | 2 | | | | | | | |
0 | -248 | 124 | 2 | | | | | | |
| 1 | -124 | 62 | 2 | | | | | |
| | 0 | -62 | 31 | 2 | | | | |
| | | 0 | -30 | 15 | 2 | | | |
| | | | 1 | -14 | 7 | 2 | | |
| | | | | 1 | -6 | 3 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 021484375*2 |
0 | .04297*2 |
0 | .08594*2 |
0 | .17188*2 |
0 | .34375*2 |
0 | .6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
498.02148437510 = 111110010.0000010112
answer: 762.0138 = 111110010.0000010112