Transfer 307.2314631463 from octal in binary number system

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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:

307.23146314638 = 3 0 7. 2 3 1 4 6 3 1 4 6 3 = 3(=011) 0(=000) 7(=111). 2(=010) 3(=011) 1(=001) 4(=100) 6(=110) 3(=011) 1(=001) 4(=100) 6(=110) 3(=011) = 011000111.0100110011001100110011001100112

the Final answer: 307.23146314638 = 11000111.0100110011001100110011001100112

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

3∙82+0∙81+7∙80+2∙8-1+3∙8-2+1∙8-3+4∙8-4+6∙8-5+3∙8-6+1∙8-7+4∙8-8+6∙8-9+3∙8-10 = 3∙64+0∙8+7∙1+2∙0.125+3∙0.015625+1∙0.001953125+4∙0.000244140625+6∙3.0517578125E-5+3∙3.814697265625E-6+1∙4.7683715820312E-7+4∙5.9604644775391E-8+6∙7.4505805969238E-9+3∙9.3132257461548E-10 = 192+0+7+0.25+0.046875+0.001953125+0.0009765625+0.00018310546875+1.1444091796875E-5+4.7683715820312E-7+2.3841857910156E-7+4.4703483581543E-8+2.7939677238464E-9 = 199.2999999998137410

got It: 307.23146314638 =199.2999999998137410

Translate the number 199.2999999998137410 в binary like this:

the Integer part of the number is divided by the base of the new number system:

1992
-198992
1-98492
1-48242
1-24122
0-1262
0-632
0-21
1
Перевод чисел из одной системы счисления в другую

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.29999999981374*2
0.6*2
1.2*2
0.4*2
0.8*2
1.6*2
1.2*2
0.4*2
0.8*2
1.6*2
1.2*2

the result of the conversion was:

199.2999999998137410 = 11000111.01001100112
the Final answer: 307.23146314638 = 11000111.01001100112
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