Transfer 0.45075 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:

0.450758 = 0. 4 5 0 7 5 = 0(=000). 4(=100) 5(=101) 0(=000) 7(=111) 5(=101) = 000.1001010001111012

the Final answer: 0.450758 = .1001010001111012

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

let\'s translate to decimal like this:

0∙80+4∙8-1+5∙8-2+0∙8-3+7∙8-4+5∙8-5 = 0∙1+4∙0.125+5∙0.015625+0∙0.001953125+7∙0.000244140625+5∙3.0517578125E-5 = 0+0.5+0.078125+0+0.001708984375+0.000152587890625 = 0.5799865722656210

got It: 0.450758 =0.5799865722656210

Translate the number 0.5799865722656210 в binary like this:

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

 Transferring numbers from one number system to another
0.57998657226562*2
1.15997*2
0.31995*2
0.63989*2
1.27979*2
0.55957*2
1.11914*2
0.23828*2
0.47656*2
0.95312*2
1.90625*2

the result of the conversion was:

0.5799865722656210 = 0.10010100012
the Final answer: 0.450758 = 0.10010100012
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